# SOLUTION: Can someone help me on this problem? I need to solve the following word problem. I also need to show the equation you use for the solution. A bicyclist rode into the cou

Algebra ->  Algebra  -> Equations -> SOLUTION: Can someone help me on this problem? I need to solve the following word problem. I also need to show the equation you use for the solution. A bicyclist rode into the cou      Log On

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 Question 53711: Can someone help me on this problem? I need to solve the following word problem. I also need to show the equation you use for the solution. A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way? Thanks, AshleyAnswer by stanbon(57203)   (Show Source): You can put this solution on YOUR website!A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way? -------- Riding-Out DATA: time=5 hr. ; rate = x mph ; distance=5x miles --------- Riding-Back DATA: time=4 hr. ; rate= x+5 mph ; distance=rt = 4(x+5)=4x+20 miles ----------- EQUATION: distace out = distance back 5x = 4x+20 x=20 mph (speed on the way out) x+5=25 mph (speed on the way back) Cheers, Stan H.