Question 1021379: Set up an equation and solve the problem. Keep in mind the suggestions we offered in this section.
Jeff leaves home and rides his bicycle out into the country for 3 hours. On his return trip along the same route, it takes him three-quarters of an hour longer. If his rate on the return trip was 3 miles per hour slower than on the trip out into the country, find the total roundtrip distance.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Set up an equation and solve the problem. Keep in mind the suggestions we offered in this section.
Jeff leaves home and rides his bicycle out into the country for 3 hours. On his return trip along the same route, it takes him three-quarters of an hour longer. If his rate on the return trip was 3 miles per hour slower than on the trip out into the country, find the total roundtrip distance.
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Into-country DATA:
time = 3 hrs ; distance = x miles ; rate = d/t = x/3 hrs
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Return DATA:
time = 3 3/4 = (15/4)hrs ; distance = x miles ; rate = x/(15/4) = 4x/15 hrs
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Equations:
out rate - return rate = 3 hrs
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x/3 - (4x/15) = 3
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5x - 4x = 45
x = 45 miles
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Ans: total dist = 2*out distance = 2x = 90 miles
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Cheers,
Stan H.
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