prompt stringlengths 195 3.01k | vanilla_response stringlengths 1 74.8k | question stringlengths 16 2.83k | answer stringlengths 2 3.48k | question_id int64 0 2.59k | generation_id int64 0 255 | response stringlengths 1 74.8k | label bool 2
classes | gold_answer stringlengths 1 47 | pred_answer stringlengths 0 15.9k |
|---|---|---|---|---|---|---|---|---|---|
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a 9-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of \( s \) kilometers per hour, the walk takes her 4 hours, including \( t \) minutes spent in the coffee shop. When she walks \( s+2 \) kilometers per hour, the walk takes her 2 hours and 24 min... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 0 | Every morning Aya goes for a 9-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of \( s \) kilometers per hour, the walk takes her 4 hours, including \( t \) minutes spent in the coffee shop. When she walks \( s+2 \) kilometers per hour, the walk takes her 2 hours and 24 min... | false | 204 | 216 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Let's break down the problem step by step. We need to find the time Aya spends walking and in the coffee shop when she walks at a speed of \(s + \frac{1}{2}\) kilometers per hour. Here's the plan:
1. First, we'll find the value of \(s\) using the information given.
2. We'll use the value of \(s\) to find \(t\).
3. Fin... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 1 | Let's break down the problem step by step. We need to find the time Aya spends walking and in the coffee shop when she walks at a speed of \(s + \frac{1}{2}\) kilometers per hour. Here's the plan:
1. First, we'll find the value of \(s\) using the information given.
2. We'll use the value of \(s\) to find \(t\).
3. Fin... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 2 | l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\) first. Let's break down the problem into manageable steps:
1. **Set up the equations for the walk times:**
- When Aya walks at \(s\) km/h, the total time (including the coffee shop) is 4 hours. So, the walking time is \(4 - \frac{t}{60}\) hour... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 3 | To solve this problem, we need to determine the value of \(s\) and \(t\) first. Let's break down the problem into manageable steps:
1. **Set up the equations for the walk times:**
- When Aya walks at \(s\) km/h, the total time (including the coffee shop) is 4 hours. So, the walking time is \(4 - \frac{t}{60}\) hour... | false | 204 | 360 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop, \(t\).
First, let's find the value of \(s\) using the given information. We know that when Aya walks at a speed of \(s\) kilomete... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 4 | To solve the problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop, \(t\).
First, let's find the value of \(s\) using the given information. We know that when Aya walks at a speed of \(s\) kilomete... | false | 204 | 306 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Let's break down the problem step by step and use Python code to solve it accurately.
1. **Understanding the Problem:**
- When Aya walks at a speed of \(s\) km/h, her walking time is 4 hours minus the time spent in the coffee shop \(t\) minutes.
- When Aya walks at a speed of \(s + 2\) km/h, her walking time is ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 5 | Let's break down the problem step by step and use Python code to solve it accurately.
1. **Understanding the Problem:**
- When Aya walks at a speed of \(s\) km/h, her walking time is 4 hours minus the time spent in the coffee shop \(t\) minutes.
- When Aya walks at a speed of \(s + 2\) km/h, her walking time is ... | false | 204 | 135 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up a system of equations.
1. When Aya walks at a speed of \(s\) km/h, the walk takes her 4 hours including \(t\) minutes in the coffee shop. Therefore, the actual walking time is \(4 - \frac{t}{60}\)... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 6 | To solve the problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up a system of equations.
1. When Aya walks at a speed of \(s\) km/h, the walk takes her 4 hours including \(t\) minutes in the coffee shop. Therefore, the actual walking time is \(4 - \frac{t}{60}\)... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up equations and solve for these variables.
1. When Aya walks at \(s\) kilometers per hour, the walk takes her 4 hours in total, including \(t\) minutes spent in the coffee shop. Therefore, the walki... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 7 | To solve the problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up equations and solve for these variables.
1. When Aya walks at \(s\) kilometers per hour, the walk takes her 4 hours in total, including \(t\) minutes spent in the coffee shop. Therefore, the walki... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of $s$ and $t$ first. We know the following:
1. When Aya walks at a speed of $s$ km/h, the total time taken is $4$ hours, including $t$ minutes in the coffee shop. So the walking time is $4 - \frac{t}{60}$ hours.
2. When Aya walks at a speed of $s+2$ km/h, the tot... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 8 | To solve this problem, we need to determine the values of $s$ and $t$ first. We know the following:
1. When Aya walks at a speed of $s$ km/h, the total time taken is $4$ hours, including $t$ minutes in the coffee shop. So the walking time is $4 - \frac{t}{60}$ hours.
2. When Aya walks at a speed of $s+2$ km/h, the tot... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to find the values of \(s\) and \(t\) first. We can use the information given in the problem to set up a system of equations.
1. When Aya walks at a speed of \(s\) km/h, her walking time is 4 hours minus \(t\) minutes (which is \(\frac{t}{60}\) hours). The total distance is 9 km. So, we c... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 9 | To solve the problem, we need to find the values of \(s\) and \(t\) first. We can use the information given in the problem to set up a system of equations.
1. When Aya walks at a speed of \(s\) km/h, her walking time is 4 hours minus \(t\) minutes (which is \(\frac{t}{60}\) hours). The total distance is 9 km. So, we c... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Let's solve the problem step by step.
1. **Understand the Problem:**
- When Aya walks at speed \(s\) km/h, her total time (including the time spent in the coffee shop) is 4 hours.
- When Aya walks at speed \(s+2\) km/h, her total time (including the time spent in the coffee shop) is 2 hours and 24 minutes, which... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 10 | Let's solve the problem step by step.
1. **Understand the Problem:**
- When Aya walks at speed \(s\) km/h, her total time (including the time spent in the coffee shop) is 4 hours.
- When Aya walks at speed \(s+2\) km/h, her total time (including the time spent in the coffee shop) is 2 hours and 24 minutes, which... | false | 204 | 300 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\), and then use these values to find out how long the walk takes when Aya walks at a speed of \(s + \frac{1}{2}\) kilometers per hour.
### Step-by-Step Solution:
1. **Set Up the Equations:**
- When Aya walks at \(s\) km/h, the total time (inclu... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 11 | To solve this problem, we need to determine the value of \(s\) and \(t\), and then use these values to find out how long the walk takes when Aya walks at a speed of \(s + \frac{1}{2}\) kilometers per hour.
### Step-by-Step Solution:
1. **Set Up the Equations:**
- When Aya walks at \(s\) km/h, the total time (inclu... | false | 204 | 330 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\) first. We can then use these values to find out how long it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
### Step-by-Step Solution
1. **Formulate the ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 12 | To solve this problem, we need to determine the value of \(s\) and \(t\) first. We can then use these values to find out how long it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
### Step-by-Step Solution
1. **Formulate the ... | false | 204 | 360 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 13 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 14 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 15 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the values of \(s\) and \(t\) using the given information. We can then use these values to find out how long it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps:
1. Write the... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 16 | To solve the problem, we need to determine the values of \(s\) and \(t\) using the given information. We can then use these values to find out how long it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps:
1. Write the... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the value of \(s\) and \(t\) first. Let's break down the problem into manageable parts:
1. **Set up the equations based on the given information:**
- When Aya walks at \(s\) km/h, the walk takes 4 hours in total, including \(t\) minutes in the coffee shop.
- When Aya wa... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 17 | To solve the problem, we need to determine the value of \(s\) and \(t\) first. Let's break down the problem into manageable parts:
1. **Set up the equations based on the given information:**
- When Aya walks at \(s\) km/h, the walk takes 4 hours in total, including \(t\) minutes in the coffee shop.
- When Aya wa... | false | 204 | 450 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to find the value of \(s\) first. We know the following:
1. When Aya walks at \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours.
2. When Aya walks at \(s + 2\) km/h, the total time (including the time spent in the coffee shop) is 2 hours and 24 minutes (... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 18 | To solve this problem, we need to find the value of \(s\) first. We know the following:
1. When Aya walks at \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours.
2. When Aya walks at \(s + 2\) km/h, the total time (including the time spent in the coffee shop) is 2 hours and 24 minutes (... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of $s$ and $t$ first. Let's break down the problem into manageable parts and use Python and sympy to solve it.
1. **Understand the problem:**
- When Aya walks at a speed of $s$ km/h, the total time taken for the walk and the coffee shop visit is 4 hours. The wa... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 19 | To solve this problem, we need to determine the values of $s$ and $t$ first. Let's break down the problem into manageable parts and use Python and sympy to solve it.
1. **Understand the problem:**
- When Aya walks at a speed of $s$ km/h, the total time taken for the walk and the coffee shop visit is 4 hours. The wa... | false | 204 | 60 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) (Aya's walking speed in kilometers per hour) and then use it to find the time it takes her to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
First, we can set up the equations ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 20 | To solve this problem, we need to determine the value of \(s\) (Aya's walking speed in kilometers per hour) and then use it to find the time it takes her to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
First, we can set up the equations ... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break down the problem step by step.
1. **Define the Variables:**
- \(s\) is the walking speed in kilometers per hour.
- \(t\) is the time spent in the coffee shop in minutes.
- The total walking distance is 9 kilometers.
2. **F... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 21 | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break down the problem step by step.
1. **Define the Variables:**
- \(s\) is the walking speed in kilometers per hour.
- \(t\) is the time spent in the coffee shop in minutes.
- The total walking distance is 9 kilometers.
2. **F... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 22 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\) first. Here are the steps:
1. **Determine the walking speed and time**:
- When Aya walks at \(s\) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. The walking time is therefore \(4 - \frac{t}{60}\) hours, and the ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 23 | To solve this problem, we need to determine the values of \(s\) and \(t\) first. Here are the steps:
1. **Determine the walking speed and time**:
- When Aya walks at \(s\) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. The walking time is therefore \(4 - \frac{t}{60}\) hours, and the ... | false | 204 | 216 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop. We are given the following information:
1. When Aya walks at a speed of \(s\) kilometers per hour, the total time (including the... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 24 | To solve this problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop. We are given the following information:
1. When Aya walks at a speed of \(s\) kilometers per hour, the total time (including the... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, let's break it down step by step:
1. **Determine the walking time without the coffee shop:**
- When Aya walks at a speed of \(s\) km/h, the walk takes 4 hours including \(t\) minutes in the coffee shop. Therefore, the actual walking time is \(4 - \frac{t}{60}\) hours.
- When Aya walks at a... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 25 | To solve this problem, let's break it down step by step:
1. **Determine the walking time without the coffee shop:**
- When Aya walks at a speed of \(s\) km/h, the walk takes 4 hours including \(t\) minutes in the coffee shop. Therefore, the actual walking time is \(4 - \frac{t}{60}\) hours.
- When Aya walks at a... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\) using the given information, and then calculate the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
1. **Determine the value of \(s\):**
When Aya w... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 26 | To solve this problem, we need to determine the value of \(s\) and \(t\) using the given information, and then calculate the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
1. **Determine the value of \(s\):**
When Aya w... | false | 204 | 342 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of $s$ and $t$ first. We can use the information given to set up equations.
1. When Aya walks at a speed of $s$ km/h, the total time taken (including the time spent in the coffee shop) is 4 hours. The time spent walking is $\frac{9}{s}$ hours, so the time spent in... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 27 | To solve this problem, we need to determine the values of $s$ and $t$ first. We can use the information given to set up equations.
1. When Aya walks at a speed of $s$ km/h, the total time taken (including the time spent in the coffee shop) is 4 hours. The time spent walking is $\frac{9}{s}$ hours, so the time spent in... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to find the value of $s$ first. We can use the information given to set up equations and solve for $s$. Let's break down the problem into manageable steps:
1. **Define the Variables:**
- Let $s$ be Aya's walking speed in km/h.
- Let $t$ be the time spent in the coffee shop in minute... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 28 | To solve the problem, we need to find the value of $s$ first. We can use the information given to set up equations and solve for $s$. Let's break down the problem into manageable steps:
1. **Define the Variables:**
- Let $s$ be Aya's walking speed in km/h.
- Let $t$ be the time spent in the coffee shop in minute... | false | 204 | 30 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 29 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Let's break down the problem step-by-step and solve it using Python and SymPy.
1. **Understand the Problem:**
- When Aya walks at a speed of \(s\) km/h, the total time including the coffee shop time \(t\) is 4 hours.
- When Aya walks at a speed of \(s+2\) km/h, the total time including the coffee shop time \(t\)... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 30 | Let's break down the problem step-by-step and solve it using Python and SymPy.
1. **Understand the Problem:**
- When Aya walks at a speed of \(s\) km/h, the total time including the coffee shop time \(t\) is 4 hours.
- When Aya walks at a speed of \(s+2\) km/h, the total time including the coffee shop time \(t\)... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to find the values of \(s\) and \(t\) first. Let's start by setting up the equations based on the given information.
1. When Aya walks at a speed of \(s\) km/h, the total time spent is 4 hours, including \(t\) minutes in the coffee shop. The time spent walking is \(4 - \frac{t}{60}\) hou... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 31 | To solve this problem, we need to find the values of \(s\) and \(t\) first. Let's start by setting up the equations based on the given information.
1. When Aya walks at a speed of \(s\) km/h, the total time spent is 4 hours, including \(t\) minutes in the coffee shop. The time spent walking is \(4 - \frac{t}{60}\) hou... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a 9-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of \( s \) kilometers per hour, the walk takes her 4 hours, including \( t \) minutes spent in the coffee shop. When she walks \( s+2 \) kilometers per hour, the walk takes her 2 hours and 24 min... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 32 | Every morning Aya goes for a 9-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of \( s \) kilometers per hour, the walk takes her 4 hours, including \( t \) minutes spent in the coffee shop. When she walks \( s+2 \) kilometers per hour, the walk takes her 2 hours and 24 min... | false | 204 | 216 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) (Aya's walking speed in kilometers per hour) and then use it to find out how long it takes her to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Let's break down the problem into manage... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 33 | To solve this problem, we need to determine the value of \(s\) (Aya's walking speed in kilometers per hour) and then use it to find out how long it takes her to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Let's break down the problem into manage... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and then use it to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Let's break down the problem into manageable steps:
1. **Formulate the equations bas... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 34 | To solve this problem, we need to determine the value of \(s\) and then use it to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Let's break down the problem into manageable steps:
1. **Formulate the equations bas... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\), and then use these values to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
First, let's set up the equations based on the information give... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 35 | To solve this problem, we need to determine the values of \(s\) and \(t\), and then use these values to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
First, let's set up the equations based on the information give... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \( s \) and \( t \) using the given information, and then calculate the time it takes for Aya to walk 9 kilometers at a speed of \( s + \frac{1}{2} \) kilometers per hour, including the time spent in the coffee shop.
Here are the steps:
1. **Set up the equation... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 36 | To solve this problem, we need to determine the value of \( s \) and \( t \) using the given information, and then calculate the time it takes for Aya to walk 9 kilometers at a speed of \( s + \frac{1}{2} \) kilometers per hour, including the time spent in the coffee shop.
Here are the steps:
1. **Set up the equation... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to find the value of \( s \) and \( t \) from the given information and then use these values to determine the time it takes for Aya to walk at a speed of \( s + \frac{1}{2} \) kilometers per hour.
1. **Convert the walking times to hours:**
- When Aya walks at \( s \) km/h, the total t... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 37 | To solve the problem, we need to find the value of \( s \) and \( t \) from the given information and then use these values to determine the time it takes for Aya to walk at a speed of \( s + \frac{1}{2} \) kilometers per hour.
1. **Convert the walking times to hours:**
- When Aya walks at \( s \) km/h, the total t... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \( s \) (Aya's walking speed in km/h) and then use it to find out how long her walk will take when she walks at \( s + \frac{1}{2} \) km/h, including the time spent in the coffee shop.
Let's break down the problem into manageable steps:
1. **Set up the equation... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 38 | To solve this problem, we need to determine the value of \( s \) (Aya's walking speed in km/h) and then use it to find out how long her walk will take when she walks at \( s + \frac{1}{2} \) km/h, including the time spent in the coffee shop.
Let's break down the problem into manageable steps:
1. **Set up the equation... | false | 204 | 29.9999999999999 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the speed \(s\) and the time \(t\) spent in the coffee shop. We can set up the equations based on the information given:
1. When Aya walks at a speed of \(s\) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. This means the time spent walking is \... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 39 | To solve this problem, we need to determine the speed \(s\) and the time \(t\) spent in the coffee shop. We can set up the equations based on the information given:
1. When Aya walks at a speed of \(s\) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. This means the time spent walking is \... | false | 204 | 360 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\) using the given information, and then calculate the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps to solve the problem:
1. **Set ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 40 | To solve this problem, we need to determine the value of \(s\) and \(t\) using the given information, and then calculate the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps to solve the problem:
1. **Set ... | false | 204 | 3^{200} |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \( s \) first. We can use the information provided to set up equations based on the walking speeds and the time taken.
1. When Aya walks at a speed of \( s \) km/h, the total time taken (including the time spent in the coffee shop) is 4 hours. The walking time a... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 41 | To solve this problem, we need to determine the value of \( s \) first. We can use the information provided to set up equations based on the walking speeds and the time taken.
1. When Aya walks at a speed of \( s \) km/h, the total time taken (including the time spent in the coffee shop) is 4 hours. The walking time a... | false | 204 | 190.8 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to find the value of \( s \) and \( t \) first. We know the following:
1. When Aya walks at a speed of \( s \) km/h, her total walking time (excluding the time spent in the coffee shop) is \( 4 - \frac{t}{60} \) hours. Since the distance is 9 km, we have:
\[ s \left( 4 - \frac{t}{60} \ri... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 42 | To solve this problem, we need to find the value of \( s \) and \( t \) first. We know the following:
1. When Aya walks at a speed of \( s \) km/h, her total walking time (excluding the time spent in the coffee shop) is \( 4 - \frac{t}{60} \) hours. Since the distance is 9 km, we have:
\[ s \left( 4 - \frac{t}{60} \ri... | false | 204 | 306 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 43 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the speed \(s\) at which Aya walks and the time \(t\) she spends in the coffee shop. We can then use these values to find out how long it takes her to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here a... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 44 | To solve this problem, we need to determine the speed \(s\) at which Aya walks and the time \(t\) she spends in the coffee shop. We can then use these values to find out how long it takes her to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here a... | false | 204 | 540 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\) from the given information and then use them to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here's the step-by-step approach:
1. **Set u... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 45 | To solve this problem, we need to determine the values of \(s\) and \(t\) from the given information and then use them to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here's the step-by-step approach:
1. **Set u... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to first determine the value of \(s\) and \(t\). We can use the information given to set up a system of equations. Let's break it down step by step.
1. **First scenario:**
- Aya walks 9 kilometers at a speed of \(s\) kilometers per hour.
- The total time for the walk including the ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 46 | To solve this problem, we need to first determine the value of \(s\) and \(t\). We can use the information given to set up a system of equations. Let's break it down step by step.
1. **First scenario:**
- Aya walks 9 kilometers at a speed of \(s\) kilometers per hour.
- The total time for the walk including the ... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Let's break down the problem step by step and use Python to solve it accurately.
1. **Understand the problem:**
- When Aya walks at a speed of \(s\) km/h, the walk takes her 4 hours, including \(t\) minutes in the coffee shop.
- When Aya walks at a speed of \(s+2\) km/h, the walk takes her 2 hours and 24 minutes... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 47 | Let's break down the problem step by step and use Python to solve it accurately.
1. **Understand the problem:**
- When Aya walks at a speed of \(s\) km/h, the walk takes her 4 hours, including \(t\) minutes in the coffee shop.
- When Aya walks at a speed of \(s+2\) km/h, the walk takes her 2 hours and 24 minutes... | false | 204 | 252 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 48 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to find the value of \( s \) and \( t \) from the given information. Let's break down the problem step by step.
1. **Formulate the equations from the given information:**
- When Aya walks at \( s \) km/h, the total time taken (including the time spent in the coffee shop) is 4 hours. So... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 49 | To solve the problem, we need to find the value of \( s \) and \( t \) from the given information. Let's break down the problem step by step.
1. **Formulate the equations from the given information:**
- When Aya walks at \( s \) km/h, the total time taken (including the time spent in the coffee shop) is 4 hours. So... | false | 204 | 360 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up two equations and solve for these variables.
1. When Aya walks at a speed of \(s\) km/h, the total time taken (including the time spent in the coffee shop) is 4 hours. The time spent walking is \... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 50 | To solve this problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up two equations and solve for these variables.
1. When Aya walks at a speed of \(s\) km/h, the total time taken (including the time spent in the coffee shop) is 4 hours. The time spent walking is \... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to first determine the walking speeds and times involved. We know the following:
1. When Aya walks at a speed of \(s\) km/h, her walk takes 4 hours including \(t\) minutes in the coffee shop. So, the actual walking time is \(4 - \frac{t}{60}\) hours.
2. When Aya walks at a speed of \(s+2... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 51 | To solve this problem, we need to first determine the walking speeds and times involved. We know the following:
1. When Aya walks at a speed of \(s\) km/h, her walk takes 4 hours including \(t\) minutes in the coffee shop. So, the actual walking time is \(4 - \frac{t}{60}\) hours.
2. When Aya walks at a speed of \(s+2... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break down the problem step-by-step:
1. **Understand the given information:**
- When Aya walks at \(s\) km/h, the total time taken is 4 hours including \(t\) minutes in the coffee shop.
- When Aya walks at \(s+2\) km/h, the total ti... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 52 | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break down the problem step-by-step:
1. **Understand the given information:**
- When Aya walks at \(s\) km/h, the total time taken is 4 hours including \(t\) minutes in the coffee shop.
- When Aya walks at \(s+2\) km/h, the total ti... | false | 204 | 360 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Let's solve this problem step by step using Python and SymPy.
1. **Understand the Problem:**
- When Aya walks at speed \( s \) km/h, the total time (including time in the coffee shop) is 4 hours.
- When Aya walks at speed \( s+2 \) km/h, the total time (including time in the coffee shop) is 2 hours and 24 minute... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 53 | Let's solve this problem step by step using Python and SymPy.
1. **Understand the Problem:**
- When Aya walks at speed \( s \) km/h, the total time (including time in the coffee shop) is 4 hours.
- When Aya walks at speed \( s+2 \) km/h, the total time (including time in the coffee shop) is 2 hours and 24 minute... | false | 204 | 30 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
First, let's establish the equations based on the given information:
1. When Aya walks at a speed of \(s\) kilometers per hour,... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 54 | To solve this problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
First, let's establish the equations based on the given information:
1. When Aya walks at a speed of \(s\) kilometers per hour,... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the speed \(s\) and the time \(t\) spent in the coffee shop. We can then use this information to find the time it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps to solve th... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 55 | To solve this problem, we need to determine the speed \(s\) and the time \(t\) spent in the coffee shop. We can then use this information to find the time it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps to solve th... | false | 204 | 30 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 56 | l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\). We can then use these values to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps to solve the problem:
1. **Set up the eq... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 57 | To solve this problem, we need to determine the values of \(s\) and \(t\). We can then use these values to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps to solve the problem:
1. **Set up the eq... | false | 204 | 120 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \( s \) and \( t \) from the given information, and then use these values to find out how long it takes Aya to walk 9 kilometers at a speed of \( s + \frac{1}{2} \) kilometers per hour, including the time spent in the coffee shop.
Here are the steps:
1. **Deter... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 58 | To solve this problem, we need to determine the value of \( s \) and \( t \) from the given information, and then use these values to find out how long it takes Aya to walk 9 kilometers at a speed of \( s + \frac{1}{2} \) kilometers per hour, including the time spent in the coffee shop.
Here are the steps:
1. **Deter... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a 9-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of \(s\) kilometers per hour, the walk takes her 4 hours, including \(t\) minutes spent in the coffee shop. When she walks \(s+2\) kilometers per hour, the walk takes her 2 hours and 24 minutes, ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 59 | Every morning Aya goes for a 9-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of \(s\) kilometers per hour, the walk takes her 4 hours, including \(t\) minutes spent in the coffee shop. When she walks \(s+2\) kilometers per hour, the walk takes her 2 hours and 24 minutes, ... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up a system of equations.
1. When Aya walks at \(s\) km/h, the total time including the coffee shop is 4 hours. So, the walking time is \(4 - \frac{t}{60}\) hours. The distance walked is 9 km, so we... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 60 | To solve this problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up a system of equations.
1. When Aya walks at \(s\) km/h, the total time including the coffee shop is 4 hours. So, the walking time is \(4 - \frac{t}{60}\) hours. The distance walked is 9 km, so we... | false | 204 | 216 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\), and then use these values to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Let's break down the problem step-by-step:
1. **Formulate the e... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 61 | To solve this problem, we need to determine the value of \(s\) and \(t\), and then use these values to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Let's break down the problem step-by-step:
1. **Formulate the e... | false | 204 | 360 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\) first. Let's break it down step by step.
1. **Understand the problem:**
- When Aya walks at a speed of \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours.
- When Aya walks at a speed of \(s+2\) km/h, the to... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 62 | To solve this problem, we need to determine the values of \(s\) and \(t\) first. Let's break it down step by step.
1. **Understand the problem:**
- When Aya walks at a speed of \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours.
- When Aya walks at a speed of \(s+2\) km/h, the to... | false | 204 | 5.14285714285714 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the value of \(s\) and \(t\) using the given information, and then use these values to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
### Step 1: Set up the equat... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 63 | To solve the problem, we need to determine the value of \(s\) and \(t\) using the given information, and then use these values to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
### Step 1: Set up the equat... | false | 204 | 330 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 64 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break down the problem into smaller steps:
1. **Formulate the equations based on the given information:**
- When Aya walks at \(s\) km/h, the total time (including the coffee shop time) is 4 hours. So, the time spent walking is \(4 - \... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 65 | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break down the problem into smaller steps:
1. **Formulate the equations based on the given information:**
- When Aya walks at \(s\) km/h, the total time (including the coffee shop time) is 4 hours. So, the time spent walking is \(4 - \... | false | 204 | 330 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 66 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | 66 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 67 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the values of \(s\) and \(t\) using the given information, and then use these values to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
### Step 1: Determine the w... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 68 | To solve the problem, we need to determine the values of \(s\) and \(t\) using the given information, and then use these values to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
### Step 1: Determine the w... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \( s \) (Aya's walking speed in kilometers per hour) and then use it to find out how long it takes her to walk 9 kilometers at a speed of \( s + \frac{1}{2} \) kilometers per hour, including the time spent in the coffee shop.
Here are the steps to solve the prob... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 69 | To solve this problem, we need to determine the value of \( s \) (Aya's walking speed in kilometers per hour) and then use it to find out how long it takes her to walk 9 kilometers at a speed of \( s + \frac{1}{2} \) kilometers per hour, including the time spent in the coffee shop.
Here are the steps to solve the prob... | false | 204 | 420 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to first determine the value of \( s \) and \( t \) using the given information. Let's break down the problem into manageable steps:
1. **Define the variables:**
- \( s \) is the walking speed in kilometers per hour.
- \( t \) is the time spent in the coffee shop in minutes.
- \... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 70 | To solve this problem, we need to first determine the value of \( s \) and \( t \) using the given information. Let's break down the problem into manageable steps:
1. **Define the variables:**
- \( s \) is the walking speed in kilometers per hour.
- \( t \) is the time spent in the coffee shop in minutes.
- \... | false | 204 | 208 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
First, let's establish the relationship between the walking speed, time, and distance. We know that:
1. When Aya walks at \(s\) ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 71 | To solve the problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
First, let's establish the relationship between the walking speed, time, and distance. We know that:
1. When Aya walks at \(s\) ... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \( s \) and \( t \) first. We can use the given information to set up equations and solve for these variables.
1. When Aya walks at \( s \) kilometers per hour, the total time (including the time spent in the coffee shop) is 4 hours. The time spent walking is \... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 72 | To solve this problem, we need to determine the values of \( s \) and \( t \) first. We can use the given information to set up equations and solve for these variables.
1. When Aya walks at \( s \) kilometers per hour, the total time (including the time spent in the coffee shop) is 4 hours. The time spent walking is \... | false | 204 | 166 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, let's break it down step by step:
1. **Understand the given information:**
- When Aya walks at a speed of \( s \) km/h, the total time including the coffee shop time \( t \) is 4 hours.
- When Aya walks at a speed of \( s + 2 \) km/h, the total time including the coffee shop time \( t \) i... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 73 | To solve this problem, let's break it down step by step:
1. **Understand the given information:**
- When Aya walks at a speed of \( s \) km/h, the total time including the coffee shop time \( t \) is 4 hours.
- When Aya walks at a speed of \( s + 2 \) km/h, the total time including the coffee shop time \( t \) i... | false | 204 | \frac{1500}{7} |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of $s$ and $t$ using the given information, and then calculate the time it takes for Aya to walk 9 kilometers at a speed of $s + \frac{1}{2}$ kilometers per hour, including the $t$ minutes spent in the coffee shop.
Here's the step-by-step approach:
1. **Determine... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 74 | To solve this problem, we need to determine the values of $s$ and $t$ using the given information, and then calculate the time it takes for Aya to walk 9 kilometers at a speed of $s + \frac{1}{2}$ kilometers per hour, including the $t$ minutes spent in the coffee shop.
Here's the step-by-step approach:
1. **Determine... | false | 204 | 208.039991676955 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\). We can start by setting up the equations based on the information given.
1. When Aya walks at a speed of \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours. This means the time spent walking is \(4 - \frac{t}{60... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 75 | To solve this problem, we need to determine the values of \(s\) and \(t\). We can start by setting up the equations based on the information given.
1. When Aya walks at a speed of \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours. This means the time spent walking is \(4 - \frac{t}{60... | false | 204 | 216 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Let's break down the problem step by step. We need to find the time it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop, which is \(t\) minutes.
First, let's set up the equations based on the given information:
1. When Aya walks at a spe... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 76 | Let's break down the problem step by step. We need to find the time it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop, which is \(t\) minutes.
First, let's set up the equations based on the given information:
1. When Aya walks at a spe... | false | 204 | 216 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the values of \(s\) and \(t\) first. We can use the information provided to set up equations and solve for these variables.
1. When Aya walks at a speed of \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours. The time spent walking is \(\frac{9... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 77 | To solve the problem, we need to determine the values of \(s\) and \(t\) first. We can use the information provided to set up equations and solve for these variables.
1. When Aya walks at a speed of \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours. The time spent walking is \(\frac{9... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\) first. We can use the information given to set up a system of equations.
1. When Aya walks at a speed of \(s\) km/h, the total time for the walk and the coffee shop visit is 4 hours. The time spent walking is \(\frac{9}{s}\) hours, and the time s... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 78 | To solve this problem, we need to determine the value of \(s\) and \(t\) first. We can use the information given to set up a system of equations.
1. When Aya walks at a speed of \(s\) km/h, the total time for the walk and the coffee shop visit is 4 hours. The time spent walking is \(\frac{9}{s}\) hours, and the time s... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Let's break down the problem step-by-step and solve it using Python and SymPy.
1. **Understand the Problem:**
- When Aya walks at a speed of \(s\) km/h, the total time taken (including \(t\) minutes in the coffee shop) is 4 hours.
- When Aya walks at a speed of \(s + 2\) km/h, the total time taken (including \(t... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 79 | Let's break down the problem step-by-step and solve it using Python and SymPy.
1. **Understand the Problem:**
- When Aya walks at a speed of \(s\) km/h, the total time taken (including \(t\) minutes in the coffee shop) is 4 hours.
- When Aya walks at a speed of \(s + 2\) km/h, the total time taken (including \(t... | false | 204 | 3 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, let's start by setting up the equations based on the information given.
1. When Aya walks at a speed of \(s\) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. Since the walk is 9 km long, the time spent walking is \(\frac{9}{s}\) hours. Therefore, the time spent in t... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 80 | To solve this problem, let's start by setting up the equations based on the information given.
1. When Aya walks at a speed of \(s\) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. Since the walk is 9 km long, the time spent walking is \(\frac{9}{s}\) hours. Therefore, the time spent in t... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, let's break it down step by step. We need to find the values of \(s\) and \(t\) first, and then use them to find the time taken when Aya walks at \(s + \frac{1}{2}\) kilometers per hour.
1. **Formulate the equations:**
- When Aya walks at \(s\) km/h, the total time (including the coffee shop t... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 81 | To solve the problem, let's break it down step by step. We need to find the values of \(s\) and \(t\) first, and then use them to find the time taken when Aya walks at \(s + \frac{1}{2}\) kilometers per hour.
1. **Formulate the equations:**
- When Aya walks at \(s\) km/h, the total time (including the coffee shop t... | false | 204 | 3 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to first determine the values of \(s\) and \(t\). Let's break down the problem:
1. When Aya walks at \(s\) kilometers per hour, her walking time is \(4 - \frac{t}{60}\) hours, and the distance is 9 kilometers. So we have:
\[
s \left(4 - \frac{t}{60}\right) = 9
\]
2. When Aya wa... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 82 | To solve this problem, we need to first determine the values of \(s\) and \(t\). Let's break down the problem:
1. When Aya walks at \(s\) kilometers per hour, her walking time is \(4 - \frac{t}{60}\) hours, and the distance is 9 kilometers. So we have:
\[
s \left(4 - \frac{t}{60}\right) = 9
\]
2. When Aya wa... | false | 204 | 216 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\) using the given information. Let's break down the problem into manageable steps:
1. **Set Up the Equations:**
- When Aya walks at a speed of \(s\) km/h, the walk takes her 4 hours, including \(t\) minutes in the coffee shop. The time spent wal... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 83 | To solve this problem, we need to determine the value of \(s\) and \(t\) using the given information. Let's break down the problem into manageable steps:
1. **Set Up the Equations:**
- When Aya walks at a speed of \(s\) km/h, the walk takes her 4 hours, including \(t\) minutes in the coffee shop. The time spent wal... | false | 204 | 216 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the values of \( s \) and \( t \) first. Let's break down the information given:
1. When Aya walks at \( s \) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. Since the walk is 9 km long, the time taken for the walk is \( \frac{9}{s} \) hours. The... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 84 | To solve the problem, we need to determine the values of \( s \) and \( t \) first. Let's break down the information given:
1. When Aya walks at \( s \) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. Since the walk is 9 km long, the time taken for the walk is \( \frac{9}{s} \) hours. The... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \( s \) and \( t \) from the given information and then use these values to find the time it takes Aya to walk 9 kilometers at a speed of \( s + \frac{1}{2} \) kilometers per hour, including the \( t \) minutes spent in the coffee shop.
Here are the steps:
1. *... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 85 | To solve this problem, we need to determine the value of \( s \) and \( t \) from the given information and then use these values to find the time it takes Aya to walk 9 kilometers at a speed of \( s + \frac{1}{2} \) kilometers per hour, including the \( t \) minutes spent in the coffee shop.
Here are the steps:
1. *... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop, \(t\) minutes.
First, let's break down the information given:
1. When Aya walks at a speed of \(s\) kilometers per hour, the total t... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 86 | To solve this problem, we need to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop, \(t\) minutes.
First, let's break down the information given:
1. When Aya walks at a speed of \(s\) kilometers per hour, the total t... | false | 204 | 300 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break down the problem into manageable parts.
1. **Formulate the Equations:**
- When Aya walks at a speed of \(s\) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. Since the walk is 9 km long, the time spen... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 87 | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break down the problem into manageable parts.
1. **Formulate the Equations:**
- When Aya walks at a speed of \(s\) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. Since the walk is 9 km long, the time spen... | false | 204 | 330 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\) first. We can use the information given in the problem to set up two equations.
1. When Aya walks at \(s\) kilometers per hour, the walk takes her 4 hours including \(t\) minutes in the coffee shop. So, the actual walking time is \(4 - \frac{t}{6... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 88 | To solve this problem, we need to determine the value of \(s\) and \(t\) first. We can use the information given in the problem to set up two equations.
1. When Aya walks at \(s\) kilometers per hour, the walk takes her 4 hours including \(t\) minutes in the coffee shop. So, the actual walking time is \(4 - \frac{t}{6... | false | 204 | 270 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Aya walks for $9$ kilometers. The time taken for this walk is $t$ minutes when she walks at a speed of $s$ kilometers per hour. When she walks at a speed of $s+2$ kilometers per hour, the time taken for the walk is $2$ hours and $24$ minutes. We need to find the time taken when she walks at a speed of $s+\frac{1}{2}$ k... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 89 | Aya walks for $9$ kilometers. The time taken for this walk is $t$ minutes when she walks at a speed of $s$ kilometers per hour. When she walks at a speed of $s+2$ kilometers per hour, the time taken for the walk is $2$ hours and $24$ minutes. We need to find the time taken when she walks at a speed of $s+\frac{1}{2}$ k... | false | 204 | 214 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\). We can start by setting up equations based on the information given:
1. When Aya walks at a speed of \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours. So, the time spent walking is \(4 - \frac{t}{60}\) hours. ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 90 | To solve this problem, we need to determine the values of \(s\) and \(t\). We can start by setting up equations based on the information given:
1. When Aya walks at a speed of \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours. So, the time spent walking is \(4 - \frac{t}{60}\) hours. ... | false | 204 | 214 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Let's break down the problem step by step:
1. **Define the variables:**
- \(s\) is the original walking speed in kilometers per ho... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 91 | To solve the problem, we need to find the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Let's break down the problem step by step:
1. **Define the variables:**
- \(s\) is the original walking speed in kilometers per ho... | false | 204 | 330 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) first. We know that the total time taken for the walk and the coffee shop visit is given in hours and minutes. We can convert these times into hours to make the calculations easier.
Here are the steps:
1. Convert the time taken for the walk and coffee sho... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 92 | To solve this problem, we need to determine the value of \(s\) first. We know that the total time taken for the walk and the coffee shop visit is given in hours and minutes. We can convert these times into hours to make the calculations easier.
Here are the steps:
1. Convert the time taken for the walk and coffee sho... | false | 204 | 165.71428571428572 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to find the values of \(s\) and \(t\) first. We can then use these values to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
1. **Set up the equations:**
- When Aya walks at \(... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 93 | To solve this problem, we need to find the values of \(s\) and \(t\) first. We can then use these values to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
1. **Set up the equations:**
- When Aya walks at \(... | false | 204 | 210 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) first. We know that Aya walks a total of 9 kilometers. When she walks at a speed of \(s\) kilometers per hour, the walk takes her \(4\) hours including \(t\) minutes in the coffee shop. When she walks at \(s+2\) kilometers per hour, the walk takes her \(2\)... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 94 | To solve this problem, we need to determine the value of \(s\) first. We know that Aya walks a total of 9 kilometers. When she walks at a speed of \(s\) kilometers per hour, the walk takes her \(4\) hours including \(t\) minutes in the coffee shop. When she walks at \(s+2\) kilometers per hour, the walk takes her \(2\)... | false | 204 | 294 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and then calculate the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps to solve the problem:
1. **Set up the equations for the time taken at ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 95 | To solve this problem, we need to determine the value of \(s\) and then calculate the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps to solve the problem:
1. **Set up the equations for the time taken at ... | false | 204 | 300 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to find the values of \(s\) and \(t\). We know that the total time for Aya's walk and coffee shop visit is the sum of the time spent walking and the time spent in the coffee shop.
Let's break down the problem into manageable steps:
1. **Determine the time spent walking at \(s\) km/h:**
... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 96 | To solve the problem, we need to find the values of \(s\) and \(t\). We know that the total time for Aya's walk and coffee shop visit is the sum of the time spent walking and the time spent in the coffee shop.
Let's break down the problem into manageable steps:
1. **Determine the time spent walking at \(s\) km/h:**
... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 97 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of $s$ and $t$ first. We can use the information given to set up a system of equations.
1. When Aya walks at a speed of $s$ km/h, her walking time is 4 hours minus the time spent in the coffee shop, which is $t$ minutes. Since the total time is 4 hours, the walking... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 98 | To solve this problem, we need to determine the value of $s$ and $t$ first. We can use the information given to set up a system of equations.
1. When Aya walks at a speed of $s$ km/h, her walking time is 4 hours minus the time spent in the coffee shop, which is $t$ minutes. Since the total time is 4 hours, the walking... | false | 204 | 134 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break it down step by step.
1. **Formulate the equations:**
- When Aya walks at a speed of \(s\) km/h, the walk takes her 4 hours, including \(t\) minutes in the coffee shop. The time spent walking is \(4 - \frac{t}{60}\) hours. Since ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 99 | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break it down step by step.
1. **Formulate the equations:**
- When Aya walks at a speed of \(s\) km/h, the walk takes her 4 hours, including \(t\) minutes in the coffee shop. The time spent walking is \(4 - \frac{t}{60}\) hours. Since ... | false | 204 | 300 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.