A Boy and a HalfPro Problems > Math > Algebra > Equations > Word Problems > Linear > Rate and Time
A Boy and a Half
A boy and a half can eat a cookie and a half in a minute and a half. How long, in seconds, would it take 5 boys to eat 8 cookies?
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A car can travel from city A to city B in 8 hours. If its speed during the return journey was decreased by 7 mph, it would take 9 hours to get back to city A. How far apart are the two cities?
Greg can mow a lawn in 4 hours. Rudy can mow a lawn in 3 hours. If they work together, how many hours will it take them to mow 14 lawns?
Samwise can mow 5 lawns in 9 hours, and Frodo can mow 1 lawn in 4 hours. Samwise, Frodo, and Bilbo, working together, can mow 20 lawns in 18 hours. How many minutes does it take Bilbo to mow 3 lawns?
Two trains are traveling from Washington DC to Bangor, ME. The first train leaves Washington DC and travels to Boston, MA (430 miles) and has a two hour stop before continuing on to Bangor (250 miles).
The second train leaves Washington DC one and a half hour later than the first train. It travels by way of Albany, NY (338 miles) and then continues directly on to Bangor (400 miles).
If the first train travels at 34 mph, how fast does the second train have to travel to reach Bangor at the same time as the first train?
Jack can mow a lawn in 6 hours, and Jane can mow it in 4 hours. If they work together, how long will it take them to mow the lawn? Give your answer in minutes.
A car travels from city A to city B in 12 hours. It then travels from city B to city C at the same speed, in 8 hours. If the car was traveling 5 mph faster, it would have traveled from city A to city B in 10 hours. What is the distance from city B to city C?
Jill runs three as fast as Jack. Henry runs five times as fast as Jack. All three children run a 100 meter dash. When the race is over, how far behind Jill is Jack?
Three birds are named Billie, Millie, and Willie. Billie flies twice as fast as Millie, who flies a third as fast as Willie. If Billie and Millie have a race, and Willie arrives at the finish when Billie has 12 miles more to travel, what was the race distance?
A clock adjusts its timing each night by contacting a satellite at 2:00 AM to find out the official standard time. Since it has a mechanical action with physical minute, second and hour hands, if the clock finds out it is out of sync, it will move at 12 times normal speed in order to "catch up" with the actual time. (If it is ahead of the correct time, it will still move forward, until it wraps around to the correct time.)
In the fall, when Daylight Savings Time happens, at 2:00 the satellite tells the clock that it is actually 1:00. Thus, the clock has to move forward at high speed until it wraps around to the correct time.
How long will it take the clock to be displaying the correct time again?
Geoge the Monkey can run at a speed of 12 mph. Hazel can walk at a rate of 4 mph, and Henrietta can walk at a rate of 2 mph.
George is standing halfway between Hazel and Henrietta, who are 1,320 feet apart, and begin walking toward each other.
At the moment they begin walking, George begins running toward Hazel. When he reaches her, he turns around and runs to Henrietta. Upon reaching her, he turns around again, and continues on like this, until the two girls meet, and he is sandwiched between them.
How far did George run?