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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> 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       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
.
Answer. The speed of the bicyclist going uphill is 12 mph.

Solution

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

12%2F%28u%2B12%29+%2B+12%2Fu = 3%2F2  hours.


Solve for u and get the answer.