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100
Two cars start from the same point and travel in opposite directions. The rate of the slower car is 15 mph less than the rate of the faster car. After 8 hours, they are 840 miles apart. Find the rate of each car.
What is 45 mph, 60 mph
100
Two trains leave the same train station but in opposite directions. The faster train travels at an average rate of 75 mph and the slower train travels at an average rate of 68 mph. In how many hours will they be 715 miles apart?
What is 5 hours
100
Mr. Granger, a cyclist, rode from his home to his office at an average speed of 18 mph. On his return home from his office, using the same route, he averaged 12 mph. If the total trip took 5 hours, what was the distance from his home to his office?
What is 36 miles
100
Steve starts out oat a rate of 40 miles per hour. Two hours later, Bill driver his car along the same route at 55 mph. In how much time will Bill overtake Steve?
What is 5 1/3 hrs
100
Two cars leave the same place and travelled on the same route. One car travels 70 kph while the other car travels 45 kph. In how many hours will they be 150 km apart?
What is 6 hrs
200
#8 Two gardeners finish a plowing job in 2 hours. The first gardener, working alone, can finish the job in 5 hours. How many hours long would it take the second gardener to finish the same job alone? Give your answer as a common fraction in lowest terms.
What is 10/3 hrs
200
#10 Doug Upp can dig a ditch in 4 hours. Mark Upp can dig the same ditch in 3 hours. How long (in hours) would it take them to dig it together?
What is 1 5/7 hrs
200
#11 If Butch Err can type a paper in 5 hours and together he and Janet can type it in 2 hours, how long would it take Janet to type the same paper alone?
What is 3 1/3 hrs
200
#1 A train travelling at 30 mph reaches a tunnel which is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel, how long is the train? (1 mile = 5280 feet)
What is 528 feet
200
#4 Diana takes 48 minutes to walk to school from her house. One morning, she walked halfway to school before she remembered she needed her calculator. She ran home and ran all the way back to school. She runs twice as fast as she walks. How many minutes more than usual did it take her to get to school?
What is 12 minutes
300
#2 A car travels at 36 mph for 18 miles, 40 mph for 20 miles, 48 mph for 45 minutes and 56 mph for 15 minutes. What is the average speed of the car in mph?
What is 44 mph
300
#3 A small hose fills a swimming pool in 16 hours. A large hose fills it in 12 hours. With the pool empty, the owner turns on the smaller hose at 800 AM. He turns on the larger hose at 10:00 AM. At what time will the pool be full?
What is 4 PM
300
#5 It takes 15 chefs 30 minutes to make 20 cakes. 45 chefs work for one hour, then 25 additional chefs join then for 45 minutes. How many cakes did they make?
What is 260 cakes
300
#6 Two trains travel towards each other from 500 miles apart. One train travels at 35 mph, the other travels at 45 mph. A fly starts from one train at 60 mph, and flies towards the other train. As soon as he touches it, he flies back to the first train, and back and so on. How many miles has the fly travelled when the 2 trains meet?
What is 375 miles
300
#13 A swimming pool can be filled by an inlet pipe in 10 hours and emptied by an outlet pipe in 12 hours. One day, the pool is empty and the owner opens the inlet to fill the pool. But he forgets to close the outlet. With both pipes open, how long will it take to fill the pool?
What is 60 hours
400
#7 A circular track is 400 m long. Jack runs at 3 kph while Jill runs at 5 kph. Jack starts running a 10 km race at 9:00 AM. Jill gives him a head start of 30 minutes and starts the race at 9:30 AM. How many times will Jill overlap Jack before the end?
What is 10 times
400
#9 A boat can travel on a river 7 miles upstream in the same time it takes to travel 9 miles downstream. Find the speed of the current if the speed of the boat is 8 miles per hour in still water.
What is 1 mph
400
#12 Two women paint a barn. Barbara can paint it alone in 5 days, Sara in 8 days. They start to paint it together, but after 2 days, Sara gets bored and Barbara finishes alone. How long does it take her to finish?
What is 1 3/4 hrs
400
Ace and Bryan are running around a circular path. They start from the opposite ends of a diameter at the same time and run in opposite directions. After Bryan has run 100 m, he meets Ace for the first time. When Ace is 60 m away from finishing a complete round, he meets with Bryan for the second time. How long is the circular path?
What is 480 m
400
At 8:00 AM, Car A and B leave Town A and Town B, respectively and travel towards each other. At 10:00 AM, the two cars are still 120 km apart. They continued travelling and at 1:00 PM, both cars are 120 km apart. How far is Town A from Town B?
What is 280 km
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