Auburn to BangorPro Problems > Math > Algebra > Equations > Word Problems > Linear > Rate and Time
Auburn to Bangor
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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?
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?
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?
Maria walks 20 miles from city A to city B. Her dog, Fido, starts at city B and runs to meet her. Fido meets her after she has walked a third of the way from A to B. Then Fido runs back to city B, then turns around again and runs back to Maria. The dog continues doing this until they are both at city B. How far did Fido run?
Marco walks a certain distance at a certain speed (measured in miles per hour), and then returns over the same distance at a speed one mph less than his original walking speed. He took a total of 35 hours. If, instead of slowing down for his return journey, he had sped up by one mph, his journey would have taken 27 hours. How far did he walk?
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.
If Jameson can build a 20 foot wall in 6 hours, and Jaqueline can build a 50 foot wall in 12 hours, and the two of them work together to build a 180 foot wall (with each of them starting at opposite ends of the wall), how much wall will each build before the wall is complete?
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?
Owen can read a 100 page book, which had 500 words per page. It took him 2 hours less time than it takes him to read a 150 page book with 600 words per page. How long would it take him to read a 400 page book which had 400 words per page?