SOLUTION: Science and medicine. 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?

Algebra ->  Equations -> SOLUTION: Science and medicine. 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?      Log On


   

Question 94898: Science and medicine. 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?
Answer by stanbon(75887) About Me  (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?
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Into the country DATA:
Time = 5 hrs. ; Rate = x mph ; Distance = 5x miles
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Return trip DATA:
Time = 4 hrs. ; Rate = (x+5) mph ; Distance = 4(x+5) miles
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EQUATION:
distance to = distance back
5x = 4(x+5)
5x = 4x+20
x = 20 mph (speed into the country)
x+5 = 25 mph ( speed on return trip)
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Cheers,
Stan H.