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Each of my 30 rooms has two windows. Each window needs a set of eight parallel wooden blinds. If each blind is 1.5m long, how much total length of wood do I need to Blind my whole house?
Answer: Each room has 2 windows and each window needs 8 blinds so there are 16 blinds per room.
There are 30 rooms so there are 30 ... |
Jeremy wants to buy a new computer. His computer model is normally $750.00, but is 1/3 off of that. The sales tax is 7%. How much does Jeremy's computer cost including sales tax?
Answer: First find the discount: $750.00 * 1/3 = $<<750.00*1/3=250.00>>250.00
Then find the price after the discount: $750.00 - $250.00 = $... |
It takes Andrew 2 minutes to checkout each carton of eggs and 3 minutes to checkout each carton of cookies. If cartons of eggs and cookies are checked out one at a time for a total of 10 minutes, what is the maximum number of each item that can be checked out?
Answer: Let e be the number of cartons of eggs and c be t... |
A local grocery store receives deliveries from two different farmers. One farmer produces 162 pounds of potatoes while another farmer produces 241 pounds of potatoes. These potatoes are to be repackaged into smaller potato bags weighing 27 pounds each. How many bags of potatoes can the grocery store prepare using the ... |
In a certain high school, there are three times as many band members as orchestra members and twice as many orchestra members as jazz choir members. If no student can be enrolled in more than one of the three activities and there are 108 members in the three activities, how many students are in the band?
Answer: Let ... |
Two trains are heading towards each other on the same track. Train A is traveling at 70 mph and Train B is travelling at 75 mph. A bird that can fly really fast is flying from the front of one train towards the other at 110 mph. The moment it touches the other train, it turns around and flies back towards the original... |
A ball is thrown upwards and its height above the ground is given by the equation \( h(t) = -5t^2 + 20t + 1 \) where \( h \) is in meters and \( t \) is in seconds. What is the maximum height reached by the ball?
To find the maximum height reached by the ball, we need to determine the vertex of the parabola described ... |
It takes Andrew 2 minutes to checkout each carton of eggs and 3 minutes to checkout each carton of cookies. How many seconds does it take to finish the checkout of 6 cartons of eggs and 4 cartons of cookies?
Answer: It takes 6 x 2 = <<6*2=12>>12 minutes to check out the eggs.
It takes 4 x 3 = <<4*3=12>>12 minutes to ... |
A ball is thrown upward from the top of a building 160 ft high at an initial speed of 48 ft/sec. Acceleration resulting from gravity is -32 ft/sec^2. Find the maximum height the ball reaches.
Answer: The maximum height is 208 feet. This is calculated using the equation h(t) = 160 + 48t - 16t^2. The maximum height occ... |
40 kids are running a race. 10% of them pass the finish line in less than 6 minutes. Three times that number finish in less than 8 minutes. 1/6 of the remaining kids take more than 14 minutes. How many kids take more than 14 minutes?
Answer: 10% of 40 is 4 kids because 40*0.1 = <<40*0.1=4>>4
Three times that number i... |
A new highway is to be constructed. Highway must be built 500 meters and it will have 100 evenly spaced supports. How many meters apart will they be?
Answer: There will be 99 intervals between the 100 supports. This means that each interval is 500/99 = 5.05 meters
#### 5.05
Question: The number of apples in a basket ... |
There are 141 gold balloons and twice as many silver balloons. If the gold and silver balloons were added to 150 black balloons, how many balloons are there in total?
Answer: Gold = <<141=141>>141
Silver = 141 * 2 = <<141*2=282>>282
141 + 282 + 150 = <<141+282+150=573>>573
There are 573 gold, silver, and black balloo... |
A formula 1 race is 500 km long. drove the first half of the race at 200 km/h and the second half of the race at 400 km/h. How long in minutes did the race take for him?
Answer: The first half is 250 km and the second half is also 250 km.
The first half took 250 km / 200 km/h = 1.25 hours
The second half took 250 km ... |
Jeremy bought a new pair of glasses with circular lenses. The diameter of the lenses is 2 centimeters. Jeremy wants to know how much plastic was used to make the lenses. How much plastic was used?
Answer: The area of a circle is the square of the radius times pi or πr2. The radius of the lens is half the diameter so ... |
A data center has 10,000 disk drives. Suppose that each disk fails with a probability of 0.001. What is the probability that exactly two disks fail?
Answer: The probability of exactly two disks failing is given by the binomial distribution:
P(X=2) = (10000 choose 2) * (0.001)^2 * (0.999)^9998
= 49995000 * (0.001)^2 *... |
Your grandmother is in a nursing home and she would like to move to a cheaper facility next month. She has 3 options: Community A which is 25 miles away, Community B which is 30 miles away, or Community C which is 40 miles away. If your grandmother decides to move to the closest facility, how many miles will she have ... |
Students are selling tickets to a school play. The goal is to raise $600. Tickets are $4 for adults and $3 for students. A student sells 113 tickets and has a total of $400 so far.
Question: How many tickets have been sold?
Answer: 113 tickets
Question: How many adult tickets have been sold?
Answer: Let the number ... |
A formula in Excel is used to add the value of 3 cells and divide that value by 2. What is the operator in the formula?
Answer: The operator is +,/, and <<=>>.
#### =+/
Question: What is the formula in Excel to find the total cost of a purchase?
Answer: The formula is <<=>>.
#### = |
Two trains leave the terminal at the same time. The first train travels at 60 miles per hour. The second train leaves 30 minutes later at 70 miles per hour and arrives 50 minutes or 2/3 of an hour before the first train. When does the second train leave and how long does the trip take?
Answer: If the first train trav... |
Two trains leave the station in Chicago at the same time. One train is heading west and the other east. The westbound train travels 15 miles per hour faster and after 11 hours ends up 115 miles west of the station. How far apart are the trains after 11 hours?
Answer: The westbound train travels 115 miles in 11 hours ... |
A ball is dropped from a height of 160 cm. The ball loses 25 percent of its height each time it bounces. What will the height of the ball be after it 3rd bounce?
Answer: The height of the ball after the first bounce is 75% of the original height or 160 * 0.75 = <<160*0.75=120>>120 cm
The height of the ball after the ... |
A digital music library contains a 1.5-hour playlist. How many minutes does it take to play the entire playlist?
Answer: 1.5 hours * 60 minutes/hour = <<1.5*60=90>>90 minutes
#### 90
Question: It takes 40 minutes for 8 people to paint 8 walls. How many minutes would it take for 12 people to paint 12 walls?
Answer: 1... |
A ball is thrown upwards at an initial velocity of 15 m/s on the surface of planet X where the acceleration due to gravity is 5 m/s2. How long does it take the ball to reach its maximum height?
Answer: The ball will reach its maximum height when its velocity is 0. Since the initial velocity is 15 m/s and the accelera... |
A formula 1 race is 50 laps long. It takes the leader of the race 22 seconds to complete each lap. At the same time, the second car on the track takes 31 seconds to complete each lap. How much time in minutes and seconds will pass before the second car catches the first?
Answer: The leader will complete 50 laps in 50... |
In a certain lake, the population of ducks is 4000 and the population of geese is 3 times larger. How many goose and duck legs are there in total?
Answer: The number of geese is 3 * 4000 = <<3*4000=12000>>12000
The number of duck legs is 4000 * 2 = <<4000*2=8000>>8000
The number of goose legs is 12000 * 2 = <<12000*2... |
A formula 1 race is 50 laps long. It takes an average of 2.5 minutes to complete one lap. How long will it take a driver to complete the entire race?
Answer: The driver will need 50 laps x 2.5 minutes per lap = <<50*2.5=125>>125 minutes to complete the race.
#### 125
Question: A greyhound bus travels 7mph slower than... |
Two trains are heading towards each other on the same track. The first train is going 80 miles per hour and the second is going 100 miles per hour. The trains are separated by 300 miles. How many miles from the first train's starting point do they collide?
Answer: The first train is traveling 80 miles per hour and th... |
Each of the 65 double rooms at a motel is equipped with a 30-inch LCD flat screen TV which can be configured to view Netflix in high definition with a vertical orientation or watch YouTube in a normal mode with a horizontal orientation. If all rooms are fully occupied, how many more inches of screen are being used to ... |
Each year,n, the population of a certain town has been increasing exponentially. The following function can be used to predict the population of the town in a given year: p(n) = 22000(1.04)^n
In Year 0, the initial population of the town was -
Answer: 22000
Question: Each year, n, the population of a certain town has... |
A local grocery store receives deliveries from two different farms. One farm's trucks deliver every 6 days while the other farm's trucks deliver every 9 days. If the two farms both delivered today, how many days will pass before they both deliver on the same day again?
Answer: To find the least common multiple of 6 a... |
An aquarium is 40cm long, 25cm wide and 30 cm high. It is filled to 90% of its capacity. How many liters of water does it contain?
Answer: The volume of the aquarium is 40*25*30 = <<40*25*30=30000>>30000cm^3
The volume of the water is 30000*0.9 = <<30000*0.9=27000>>27000cm^3
The volume of the water in liters is 27000... |
Two trains simultaneously depart towards each other on one route of Washington's Metro Line. One train travels at 60 mph and the other travels at 80 mph. If the two stations are 30 miles apart, how many miles apart will the two trains be after each has traveled for 15 minutes?
Answer: In 15 minutes, the first train t... |
If there are 55 goldfish and 33333 angle fish in an aquarium. Every week 10 goldfish and 30 angle fish are added. Every month, 20 goldfish and 150 angle fish are removed. Considering there are 4 weeks in 1 month. How many fish are remaining after 7 months?
Answer: First, find how many goldfish are remaining after 7 m... |
Two trains simultaneously depart from opposite ends of a 100-mile track. Train A travels at 40 miles per hour towards Train B, which travels at 60 miles per hour towards Train A. A bird starts at the same location as Train A, and flies at 80 miles per hour towards Train B. When it reaches Train B, the bird turns aroun... |
A formula 1 race is 50 laps long. It takes an average of 2.1 minutes to complete one lap. If the race lasts less than 3 hours what is the minimum average time it takes each driver to complete a lap?
Answer: 3 hours is 180 minutes
180 minutes divided by 50 laps is 3.6 minutes per lap
Since the average time per lap mus... |
Each of my 30 rooms has two windows. Each window needs a set of eight weighted bronze rods cut precisely to their specifications. If the price of each rod is $25, how much does it cost to replace the rods for all the windows in my house?
Answer: There are 60 windows in total because 30*2 = <<30*2=60>>60
There are 480... |
A ball is dropped from a height of 160 cm. The ball loses 25 percent of its height each time it bounces. What will the height be of the ball after the third bounce?
Answer: The ball reaches 75% of its previous height after each bounce. So after the first bounce, the ball reaches a height of 160 * 75% = <<160*.75=120>... |
You're planning on making bread and cookies for a party. A loaf of bread can feed 7 people and a batch of cookies can feed 5 people. You need to feed 28 people, how many of each do you need to make?
Answer: You need to feed 28 people.
You need to feed 28 / 7 = <<28/7=4>>4 loaves of bread.
You need to feed 28 / 5 = <<... |
Two trains leave the Dallas port going in opposite directions. If one train leaves at 10:00am and the other leaves at 11:00am with an average speed of 50 miles per hour and 60 miles per hour, respectively, at what time will they be 850 miles apart?
Answer: The first train has a one hour head start on the second train... |
In a certain high school, there are three times as many band members as orchestra members and twice as many orchestra members as jazz choir members. If no student can be enrolled in more than one of the three activities and there are 108 members in the three activities, how many students are in the band?
Answer: Let ... |
40 kids are running a race. 10% of them pass the finish line in less than 6 minutes. Three times that number finish in less than 8 minutes. 1/6 of the remaining kids take more than 14 minutes. How many kids take more than 14 minutes?
Answer: 10% of 40 is 4 because 40 * 10% = <<40*.10=4>>4
Three times that number is 1... |
Two trains simultaneously depart from opposite ends of a 100-mile route and travel toward each other on parallel tracks. Train X, traveling at 30 miles per hour. Train Y, traveling at 10 miles per hour. A bird, flying at 60 miles per hour, leaves the front of Train X and flies to the front of Train Y, immediately turn... |
The distance around a square field is 400 yards. How long is one side of the field?
Answer: Since a square has four equal sides, divide 400 yards by 4 to get 100 yards.
#### 100
Question: Mike wants to buy a car that costs $1100. He has saved up $300. If he makes $15 an hour at his job, how many hours does he need to... |
A science class is learning about temperature and heat. The teacher demonstrates an experiment using a metal rod that is 1 meter long. The students are asked to calculate the temperature at the midpoint of the rod after 15 minutes if the initial temperature of the rod is 20°C and it is heated at a rate of 2°C per minu... |
Your favorite baseball team is playing against your uncle's favorite team in the final game of the World Series. Since your teams didn't do too well this year, they only have 13 players on the field at any one time. If there are nine players on the field and one batter, how many possible outs does their manager have? ... |
The distance from Earth to the Moon is roughly 238,900 miles. If you could drive that distance at an average speed of 70 miles per hour, how many hours would it take for you to reach the Moon?
Answer: To find the number of hours, divide the total distance by the average speed: 238,900 / 70 = <<238900/70=3412.85714285... |
Eric is trying to earn $5 a day by walking dogs for his neighbors. If he walks dogs for $8 a day, how much does he make?
Answer: Eric makes $8 a day by walking dogs.
#### 8
Question: A baseball stadium holds 2000 people. At a game, the total number of people in the stadium was 1500. What was the percentage of empty s... |
A toy store has a beginning inventory of eight sets of paints at a cost of \$1.25 each. During the year, the toy store purchased three at \$1.50, ten at \$2, and seven more at \$3. By the end of the year, 25 sets were sold. Calculate the cost of goods sold for the sets of paints.
Answer: Cost of goods sold = 8 sets *... |
Two trains leave the same train station at the same time, one train travels northeast at 50 mph and the other travels east at 40 mph. How far apart are the trains after five hours?
Answer: The first train travels 50*5 = 250 miles
The second train travels 40*5 = 200 miles
The distance between the trains can be found b... |
It takes 4 apples to make 1 pie. It takes a certain number of pies to make a cake. It takes 10 apples to bake 2 cakes. How many pies does it take to make 1 cake?
Answer: It takes 5 apples to make 1 cake because 10 apples / 2 cakes = <<10/2=5>>5 apples per cake
It takes 1.25 pies to make 1 cake because 5 apples / 4 ap... |
In a farm, there are 80 chickens. The farmer collects eggs every day and takes 25% of the chickens to collect eggs. How many chickens are there in the farm after 2 days if the number of chickens increases by 10% each day?
Answer: 25% of 80 chickens = 80 * 25% = 20 chickens
There are 80 - 20 = 60 chickens remaining on... |
50 kids are running a race. 10% of them pass the finish line in less than 6 minutes. Three times that number finish in less than 8 minutes. 1/6 of the remaining kids take more than 14 minutes. How many kids take more than 14 minutes?
Answer: 10% of 50 is 5 kids. 3 times that is 15 kids. 50 - 15 - 5 is 30 kids remaini... |
Two trains are heading towards each other on the same track. Train A is moving at 70mph and Train B is moving at 75mph. A Tengu that can fly really fast is sitting on top of Train A. When the trains are 100miles apart, the Tengu gets afraid and flies towards Train B at a speed of 100mph. When it reaches Train B, it im... |
Two trains are traveling towards each other on the same track, one at 60 mph and the other at 40 mph. If they are a quarter mile apart, how much time is left until they meet?
Answer: When the trains are moving towards each other, their relative speed is the sum of their individual speeds. Therefore, the relative spee... |
A formula 1 race is 500 km long. If a driver completes the race at an average speed of 200 km/hour, how long will it take them to finish the race?
Answer: 500 km / 200 km/hr = 2.5 hours
#### 2.5
Question: A high school has 800 students. The school sponsors a number of sports. 45% of students participate in basketball... |
A digital music library is downloaded at a rate of 5 songs per minute. How long will it take to download 200 songs?
Answer: It will take 200 / 5 = <<200/5=40>>40 minutes to download 200 songs.
#### 40
Question: During a research, a scientist observe that a bacteria triples every hour. She starts with a single bacteri... |
A formula 1 race is 50 laps long. It takes an average of 2.1 minutes to complete one lap. If the driver takes a total of 10 minutes in pit stops, how long will it take them to finish the race?
Answer: It takes the driver 105 minutes to complete the race because 50*2.1 = <<50*2.1=105>>105
Add 10 minutes for pit stops ... |
In a certain lake, the weight of the fish caught is four times as likely to be a male as a female. If a fisherman caught 12 fish in a particular day, what is the probability that at least 8 of them are male?
Answer: The probability that at least 8 of the 12 fish are male is the same as 1 minus the probability that 7 o... |
A ball is dropped from a height of 160 cm. The ball loses 25 percent of its height each time it bounces. What will the height be of the ball after the fifth bounce?
Answer: After the first bounce, the ball will bounce to 75% of its previous height because 100% - 25% = 75%
After the first bounce, the ball will bounce ... |
A scientist collects a sample of bacteria which weighs about 0.00000000075 pounds. Write the weight of the sample in scientific notation.
Answer: 0.00000000075 = 7.5 * 10^-10
#### 7.5e-10
Question: A scientist collects a sample of bacteria which weighs about 0.00000000075 pounds. Write the weight of the sample in sci... |
Jeremy wants to buy a new computer. His current computer is really old and needs so many repairs it is not worth it. The computer cost $900 but is on sale for 20% off. Jeremy has $130 saved up, so how much will he have to pay out of pocket before taxes?
Answer: The computer is $900 but it is on sale for 20% off. 20% ... |
In a certain high school, there are three times as many band members as orchestra members and twice as many orchestra members as jazz choir members. If no student can be enrolled in more than one of the three activities and there are 108 band members, how many students are there in all?
Answer: If there are 108 band ... |
A store owner is trying to decide whether to take a new delivery that arrived today. The delivery contains 20 cases of paper towels with 1 dozen per case. Each case cost $10 and the store owner estimates they can sell the towels for $1.5 per towel. How much profit will the store owner earn if they buy the delivery?
A... |
Two trains are traveling towards each other on the same track, one at 60 mph and the other at 40 mph. If they are a quarter mile apart, how much time will pass, in seconds, before they collide?
Answer: Their combined speed is 60 mph + 40 mph = 100 mph.
They are a quarter mile apart, so the time before they collide is... |
A cargo ship moving from Shanghai to Vancouver navigates for 21 days before reaching port. Customs and regulatory processes in Vancouver last 4 days. Finally, moving the cargo from the port to your rural warehouse takes some time and it always arrives on the seventh day. How many days ago should the ship have departed... |
A recipe for bread calls for 5 1/2 cups of flour. Someone makes half a recipe and then uses 1/3 of this amount to make sandwich rolls. How much flour was used to make the sandwich rolls?
Answer: Half the recipe is 5.5 / 2 = <<5.5/2=2.75>>2.75
One third of this is 2.75 / 3 = <<2.75/3=0.9166666666666666>>0.916666666666... |
Ethan is trying to study for his driver's license test and reads that the probability of passing the test the first time is 64%. The probability of passing the test on the second attempt conditional on failing the first attempt is 81%. The probability of passing on the third attempt conditional on failing the first tw... |
A box of candy contains 20 pieces. If the children need 5 pieces of candy each, how many children can be served with 3 boxes of candy?
Answer: There are 20 pieces in a box so 3 boxes contain 3 * 20 = <<3*20=60>>60 pieces
There are 60/5 = <<60/5=12>>12 children that can be served with 3 boxes of candy.
#### 12
Questio... |
A ball is thrown from the top of a water tower, which is 50 meters tall. The height of the ball is given by the equation h = - 4.9t^2 + 20t + 50, where h is the height, in meters, of the ball above the ground and t is the time in seconds since the ball was thrown. How long will it take for the ball to hit the ground? ... |
Two trains leave the terminal at the same time. The first train travels at 60 miles per hour. The second train leaves 30 minutes behind going 80 miles per hour. How long will it take for the second train to overtake the first train?
Answer: In 30 minutes, the first train would have traveled 30 miles because 60 miles ... |
There are 17 goldfish and 16 turtles in an aquarium. Each goldfish plays with 2 red balls, and each turtle plays with 2 white balls. If the fish's balls are stored in 7 containers, and the turtles' balls are stored in 5 containers, and each container for fish balls can hold 5 balls and each container for turtle balls ... |
A race car makes 4 circuits around a track in 10 minutes 32 seconds. How long does each circuit take?
Answer: The race car makes 4 circuits around a track in 10 minutes 32 seconds.
10 minutes 32 seconds = 600 seconds + 32 seconds = 632 seconds
The time for each circuit is 632 seconds / 4 = <<632/4=158>>158 seconds
##... |
In a population of 2500, 200 people contracted a flu each year for 3 years. Each of those 200 people on average spread the flu to 5 more people each year. How many people in total will contract the flu over the course of those 3 years?
Answer: 200*5 = <<200*5=1000>>1000 people in total
#### 1000
Question: 120 student... |
It takes 4 apples to make 1 cup of apple juice. If a person drinks 2 cups of apple juice per day, how many apples would they need to make enough apple juice to last them 3 weeks?
Answer: 1 week has 7 days and 3 weeks has 7 * 3 = <<7*3=21>>21 days
If a person drinks 2 cups of apple juice a day then they would drink 2 ... |
If there are 50 floats in a parade, how many ways can a first place and a second place trophy be awarded?
Answer: 50 * 49 = <<50*49=2450>>2450
#### 2450
Question: Each year, 40,000 students take the SAT exam. The scores of the students follow a normal distribution with a standard deviation of 80. The school you appli... |
A train leaves from Chicago traveling 2 miles every 3 minutes for 2 hours. Another train leaves from Cleveland traveling 3 miles every 5 minutes for the same duration. Both trains are traveling towards each other. When and where will they meet?
Answer: The first train travels 2 miles every 3 minutes or 40 miles every... |
There are 16 slices in a 2-pound package of trans-fat free cheese. In the past week, the Mardles have eaten 0.75 pounds of cheese and Mr. Mardle has eaten 1/4 of what the family has eaten. If each of the Mardles eats 1/2 of a slice of cheese per meal, how many meals did the family have?
Answer: The Mardles ate 0.75 p... |
Two trains leave the station in Hartford at the same time. One train is traveling due north at a speed of 65 mph and the other train is traveling due south at a speed of 55 mph. When will the trains be 100 miles apart?
Answer: Since the trains are traveling in opposite directions, their speeds add up, so the combined... |
A ball is thrown upward from the top of a building 80 ft high with an initial velocity of 64 ft per second. The distance s (in feet) of the ball from the ground after t seconds is given by s = 80 + 64t - 16t^2. After how many seconds will the ball strike the ground?
Answer: The ball will strike the ground when s = 0.... |
A toy car factory that runs 24 hours a day can make 30 toy cars every minute. If the factory ships the toys in pallets of 500, how many pallets will the factory fill in 5 hours?
Answer: There are 60 minutes in an hour and 5 hours in the time frame of interest, so there are 60 * 5 = 300 minutes in 5 hours.
The factory ... |
What is the total area of the two new small beds if the dimensions of the first one are 2x+3y and x+4y and the second one is twice the size of the first one?
Answer: The area of the first bed is (2x+3y)(x+4y) = <<(2*x+3*y)*(x+4*y)>>2x^2+11xy+12y^2
The area of the second bed is 2(2x^2+11xy+12y^2) = <<2*(2*x^2+11*x*y+1... |
A math student is attending a lecture hall that holds 100 students. If 3/5 of the students in the hall today are boys, how many girls are attending the lecture hall?
Answer: If 3/5 of the students are boys, then 2/5 are girls.
2/5 * 100 = <<2/5*100=40>>40
#### 40
Question: There are 141 gold balloons and twice as ma... |
Two trains leave the same train station at the same time, one train travels north at 50 mph and the second train travels south at 60 mph, in how many hours will the two trains be 275 miles apart?
Answer: The two trains are traveling in opposite directions so they will be moving apart from each other at a rate of 50+6... |
17 students are in a classroom. They are divided into 3 groups to do different projects. Group 1 has 5 students while group 2 has 6 students. How many students are in group 3?
Answer: There are 17 - 5 - 6 = <<17-5-6=6>>6 students in group 3
#### 6
Question: 60% of the voters in a town plan to vote for the incumbent m... |
A ball is thrown from the top of a water tower, 100 feet high, at an initial velocity of 80 feet per second. If the ball is thrown almost horizontally, then its two-dimensional height (in feet) above the ground at any time, t in seconds, can be modeled by: h(t) = -16t^2 + 80t + 100. At what time(s) will the ball be 20... |
A popular ride in a fun fair can only be accessed by children over a certain age. On a particular day, 90% of the attendees were over 12 years old. If the funfair had 100 attendees that day, how many people who attended were old enough to go on the ride?
Answer: 90% of the attendees were over 12 years old. So, the nu... |
Two trains leave the station in Hartford at the same time. One train is traveling due north at a speed of 65 mph and the other train is traveling due south at a speed of 55 mph. When will the trains be 100 miles apart?
Answer: The trains are traveling in opposite directions so the distance between the trains increase... |
Amy had $12 more than Bob at first. After Amy spent twice as much money as Bob, Amy had half as much money left as Bob. How much money did Amy have at first?
Answer: Let's assume that Bob had x dollars at first.
Then Amy had x + 12 dollars at first.
After Amy spent twice as much money as Bob, Amy had (x + 12) - 2y do... |
A cargo ship moving from Shanghai to Vancouver navigates for 21 days before reaching port. Customs and regulatory processes in Vancouver last 4 days. Finally, moving the cargo from the port to your rural warehouse takes some time and it always arrives on the seventh day. How many days ago should the ship have departed... |
A plant grows by one fifth of its height every month. After 1 month, it is 2 cm tall. What will its height be after 2 and a half months?
Answer: The plant grows 2cm * 1/5 = <<2*1/5=0.4>>0.4cm in the second month
The plant grows 0.4cm * 1/5 = <<0.4*1/5=0.08>>0.08cm in the next half month
The plant's height after 2 and... |
Two trains leave the station in Chicago at the same time. Train A is heading west to NY at 90 mph. Train B is heading east to Detroit at 110 mph. If the distance between Chicago and NY is 750 miles and the distance between Chicago and Detroit is 1000 miles, how much time does it take each train to reach its destinatio... |
Jeremy is building a deck for his garden that is in the shape of a right triangle. Jeremy knows that the longest side of the deck, the hypotenuse, is 17 feet long. He also knows that the measure of one of the angles of the right triangle is 20°. What is the length of the side opposite to the 20° angle?
Answer: The si... |
A ball is thrown downward so that it bounces up to a height of 3 meters. After each successive bounce, the ball rises to 3/5 of its previous height. If the ball is traveling at the speed of 10 meters per second as it leaves its 3-meter bounce, how far will the ball have traveled in total when it hits the ground for th... |
An aquarium is 45 cm long, 25 cm wide, and 35 cm deep. It is filled with water. What is the volume of the water in cubic centimeters?
Answer: The volume of the water in cubic centimeters is 45*25*35 = <<45*25*35=39375>>39375
#### 39375
Question: If there are 55 students in the school band and 11 students in the orche... |
A ball is thrown from the top of a water tower, which is 50 feet tall. The ball is thrown at a speed of 28 feet/second. After 2 seconds, how far above the ground is the ball?
Answer: The formula for height is h(t) = -16t^2 + vt + s, where v is the initial velocity and s is the initial height.
The height of the ball ... |
There are 16 teams in the National Football Conference (NFC). At the beginning of the season, each team was paired with another team, for a total of eight games. How many of these games will have two teams that had not previously played each other?
Answer: The first team will have 15 teams to play against.
The second... |
A man is planning to make 30 calls to his friends in a week. On weekdays, he made 2 calls each day, and on weekends, he made 5 calls per day. How many calls did he make on weekdays?
Answer: He made 10 calls on weekdays because 2 x 5 = <<2*5=10>>10
#### 10
Question: A man is planning to make 30 calls to his friends in... |
100 people are waiting in line at a railway station. If 50 more people arrive at the queue, how many people are there at the railway station?
Answer: 100 + 50 = 150
#### 150
Question: If 20 people are going to split $20, how much money does each person get?
Answer: $20 / 20 = 1
#### 1
Question: 100 people are waitin... |
The distance from Earth to the moon is about 240000 miles. If you could drive that distance, how many days would it take to get there driving 6 hours a day at 70 miles an hour?
Answer: 6 hours a day at 70 miles an hour is 6*70 = 420 miles a day
It will take 240000 / 420 = <<240000/420=571.4285714285714>>571.428571428... |
The number of apples in a basket is between 60 and 120. If the apples are equally divided among 8 children, 10 children, or 12 children, find the number of apples in the basket.
Answer: The number of apples has to be divisible by 8, 10, and 12.
The LCM of 8, 10, and 12 is 120.
The only number between 60 and 120 tha... |
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