SOLUTION: A bicyclist rode into the country for 5 hours. In returning by the same route, her speed was 4 mph slower and the trip took 6 hours. How far did she go during the entire trip?

Algebra ->  Linear-equations -> SOLUTION: A bicyclist rode into the country for 5 hours. In returning by the same route, her speed was 4 mph slower and the trip took 6 hours. How far did she go during the entire trip?       Log On


   



Question 183818: A bicyclist rode into the country for 5 hours. In returning by the same route, her speed was 4 mph slower and the trip took 6 hours. How far did she go during the entire trip?
Thanks for your help by seeing your answer worked out I'm learning by solving linear equations

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A bicyclist rode into the country for 5 hours. In returning by the same route, her speed was 4 mph slower and the trip took 6 hours. How far did she go during the entire trip?
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Into the country DATA:
time = 5 hrs ; rate = x mph ; distance = rt = 5x miles
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Return-trip DATA:
time = 6 hrs : rate = x-4 mph ; distance = rt = 6(x-4) miles
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Equation:
distance = distance
5x = 6(x-4)
5x = 6x - 24
x = 24 mph (rate into thecountry)
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total distance = 5x+ 6(x-4) with x = 24
=5*24 + 6(24-4)
= 120 + 120
= 240 miles
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Cheers,
Stan H.