prompt stringlengths 195 3.01k | vanilla_response stringlengths 1 150k | question stringlengths 16 2.83k | answer stringlengths 2 3.48k | question_id int64 0 2.58k | generation_id int64 0 255 | response stringlengths 1 150k | label bool 2
classes | gold_answer stringlengths 1 47 | pred_answer stringlengths 0 15.1k |
|---|---|---|---|---|---|---|---|---|---|
<|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, 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 | 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 minutes, including t ... | false | 204 | 48 |
<|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
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 | 1 | 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... | 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... | Aya walks $9$ kilometers in $4$ hours, including $t$ minutes in the coffee shop. So, her walking time is $4$ hours $- t$ minutes. Since $1$ hour is $60$ minutes, her walking time is $4 \times 60 - t$ minutes. Let's call this walking time $W_1$.
When she walks at $s+2$ kilometers per hour, she walks $9$ kilometers in $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 | 2 | Aya walks $9$ kilometers in $4$ hours, including $t$ minutes in the coffee shop. So, her walking time is $4$ hours $- t$ minutes. Since $1$ hour is $60$ minutes, her walking time is $4 \times 60 - t$ minutes. Let's call this walking time $W_1$.
When she walks at $s+2$ kilometers per hour, she walks $9$ kilometers in $2... | false | 204 | 48 |
<|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... | 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 \( s+2 \) kilometers per hour, the walk takes her 2 hours and ... | 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 | 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 \( s+2 \) kilometers per hour, the walk takes her 2 hours and ... | 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 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 find the value of \(s\). We know that when Aya walks at a speed of \(s\) kilometers per hour, the walk takes her 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 | 4 | 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 find the value of \(s\). We know that when Aya walks at a speed of \(s\) kilometers per hour, the walk takes her 4 ... | 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... | 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 | 5 | 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 | 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... | This problem can be solved by setting up equations based on the given information and solving for the unknowns. Let's break it down step by step.
1. **Define the Variables:**
- Let \( s \) be Aya's walking speed in kilometers per hour.
- Let \( t \) be the time spent in the coffee shop in minutes.
- Let \( 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 | 6 | This problem can be solved by setting up equations based on the given information and solving for the unknowns. Let's break it down step by step.
1. **Define the Variables:**
- Let \( s \) be Aya's walking speed in kilometers per hour.
- Let \( t \) be the time spent in the coffee shop in minutes.
- Let \( 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 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, we need to determine the value of \(s\). We know the following:
1. When Aya walks at a speed of \(s\) km/h, her total time (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 | 7 | 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.
First, we need to determine the value of \(s\). We know the following:
1. When Aya walks at a speed of \(s\) km/h, her total time (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 values of \(s\) and \(t\) first. We can set up the equations based on the information given:
1. When Aya walks at \(s\) kilometers per hour, the walk takes her 4 hours including \(t\) minutes in the coffee shop. So, the time spent walking is \(4 - \frac{t}{60}\) hours. Since 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 | 8 | To solve the problem, we need to find the values of \(s\) and \(t\) first. We can set up the equations based on the information given:
1. When Aya walks at \(s\) kilometers per hour, the walk takes her 4 hours including \(t\) minutes in the coffee shop. So, the time spent walking is \(4 - \frac{t}{60}\) hours. Since 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... | , you are a helpful assistant, and I'm sorry for the inconvenience. I'll provide a step-by-step solution to the problem.
### Problem Breakdown
1. **Understanding the Problem:**
- Aya walks 9 kilometers.
- When she walks at speed \(s\) km/h, the total time (including \(t\) minutes in the coffee shop) is 4 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 | 9 | , you are a helpful assistant, and I'm sorry for the inconvenience. I'll provide a step-by-step solution to the problem.
### Problem Breakdown
1. **Understanding the Problem:**
- Aya walks 9 kilometers.
- When she walks at speed \(s\) km/h, the total time (including \(t\) minutes in the coffee shop) is 4 hours.
... | 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... | ```python
from sympy import symbols, Eq, solve
# Define the variables
s, t = symbols('s t')
# Convert the time spent in the coffee shop from minutes to hours
t_hours = t / 60
# Define the equations based on the given information
# When walking at speed s, the total time including the coffee shop is 4 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 | 10 | ```python
from sympy import symbols, Eq, solve
# Define the variables
s, t = symbols('s t')
# Convert the time spent in the coffee shop from minutes to hours
t_hours = t / 60
# Define the equations based on the given information
# When walking at speed s, the total time including the coffee shop is 4 hours
... | 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 \(t\) from the given information, and then use these values to find the time taken for Aya's walk when she walks at \(s + \frac{1}{2}\) kilometers per hour.
### Step-by-step solution:
1. **Formulate the equations:**
- When Aya walks 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 | 11 | 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 taken for Aya's walk when she walks at \(s + \frac{1}{2}\) kilometers per hour.
### Step-by-step solution:
1. **Formulate the equations:**
- When Aya walks at \(s\) km/h, ... | 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 | 12 | 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 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 Aya's walking speed in 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 | 13 | 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 Aya's walking speed in kilometers per hour.... | false | 204 | 180 |
<|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 \(s\) kilometers per hour, the total time taken (including \(t\) minutes in the coffee shop) is 4 hours.
2. When Aya walks at \(s+2\) kilometers per hour, the total time taken (including \(t\) m... | 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 | To solve this problem, we need to determine the values of \(s\) and \(t\) first. We know the following:
1. When Aya walks at \(s\) kilometers per hour, the total time taken (including \(t\) minutes in the coffee shop) is 4 hours.
2. When Aya walks at \(s+2\) kilometers per hour, the total time taken (including \(t\) m... | 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 first set up the equations based on the information provided.
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 includes \(t\) minutes spent in the coffee shop. So the time spent walking is \(4 - \frac{t}{60}\) hours. Si... | 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 | To solve the problem, let's first set up the equations based on the information provided.
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 includes \(t\) minutes spent in the coffee shop. So the time spent walking is \(4 - \frac{t}{60}\) hours. Si... | false | 204 | 39 |
<|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.
1. **Understanding the given information:**
- 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.
- When Aya walks at a speed of \(s+2\) km/h, the total time taken (including the time spent in the coffe... | 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 | Let's break down the problem step by step.
1. **Understanding the given information:**
- 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.
- When Aya walks at a speed of \(s+2\) km/h, the total time taken (including the time spent in the coffe... | 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, let's break it down step-by-step and use Python to ensure the accuracy of our calculations.
1. **Determine the value of \(s\) and \(t\)**:
- When Aya walks at \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours. So, the walking time 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 | 17 | To solve this problem, let's break it down step-by-step and use Python to ensure the accuracy of our calculations.
1. **Determine the value of \(s\) and \(t\)**:
- When Aya walks at \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours. So, the walking time is \(4 - \frac{t}{60}\) hou... | false | 204 | 2\sqrt{2}(\cos(\frac{3\pi}{4})+i\sin(\frac{3\pi}{4})) |
<|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 for 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 | 18 | 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 for 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 | 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 999-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of ss\text{s} kilometers per hour, the walk takes her 444 hours, including tt\ttext{t} minutes spent in the coffee shop. When she walks s+2s+2s+2 kilometers per hour, the walk takes her 222 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 | 19 | Every morning Aya goes for a 999-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of ss\text{s} kilometers per hour, the walk takes her 444 hours, including tt\ttext{t} minutes spent in the coffee shop. When she walks s+2s+2s+2 kilometers per hour, the walk takes her 222 hou... | 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. 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 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 \... | 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 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 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 \... | 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 \(t\) from 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 equations for 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 | 21 | To solve the problem, we need to determine the values of \(s\) and \(t\) from 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 equations for th... | false | 204 | 216 |
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