SOLUTION: City A and City B are 200 km apart. Harry rides his bike 20 km faster than Yoshi rides his bike. Find Harry's average speed if he travels from city A to city B in 1 1/7 hour less
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Question 1009856: City A and City B are 200 km apart. Harry rides his bike 20 km faster than Yoshi rides his bike. Find Harry's average speed if he travels from city A to city B in 1 1/7 hour less time than Yoshi. Answer by ikleyn(52794) (Show Source):
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City A and City B are 200 km apart. Harry rides his bike 20 km faster than Yoshi rides his bike.
Find Harry's average speed if he travels from city A to city B in 1 1/7 hour less time than Yoshi.
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Let u be the Harry' speed, in mph.
Then the Yoshi' speed was u-20.
Time Harry spent for the trip was hours.
Time Yoshi spent for the trip was hours.
An equation is
- = , or
- = .
Simplify and solve it for u.
As the first step, multiply both sides by 7u*(u-20).