SOLUTION: A bicyclist rides his bicycle 12 miles up a hill and then comes back down. His speed coming downhill is 12 miles per hour faster than going uphill. The round trip takes 1 hour and
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Question 1087708: A bicyclist rides his bicycle 12 miles up a hill and then comes back down. His speed coming downhill is 12 miles per hour faster than going uphill. The round trip takes 1 hour and 30 minutes (= 3/2 hours). What was the speed of the bicyclist going uphill? Answer by ikleyn(52790) (Show Source):
Let u be the speed of the bicyclist going uphill, in mph.
Then the speed of the bicyclist going downhill is (u+12) mph.
Your "time equation" for the round trip is
= hours.
Solve for u and get the answer.