SOLUTION: 54. A bicyclist rode into the county for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4h. What was her speed each way.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: 54. A bicyclist rode into the county for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4h. What was her speed each way.      Log On

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 Click here to see ALL problems on Geometry Word Problems Question 40643: 54. A bicyclist rode into the county for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4h. What was her speed each way.Answer by rajagopalan(158)   (Show Source): You can put this solution on YOUR website!Let onward speed = x Let distance = d on ward time = d/x = 5 (given) ..equation 1 .. return speed = x+5 distance = d return journey time = d/(x+5)= 4 (given)..equation 2 .. from eq 1 .. we get d/x=5, 5x=d substitute d=5x in eqn 2 d/(x+5) = 4 5x/(x+5)=4 5x = 4(x+5) 5x = 4x+20 5x-4x = 20 x = 20. Onward speed = 20 Return speed = 25 .. good luck..