<PRE><B>Question 182256</B>
five friends drove at an average rate of 50 miles per hour to a weekend retreat. On the way home, they took the same route but averaged 75 miles per hour. What was the distance between home and the retreat if the round trip took 10 hours?
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To the retreat DATA:
rate = 50 mph ; distance = x miles : time = d/r = x/50 hrs
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From the retreat DATA:
rate = 75 mph ; distance = x miles ; time = d/r = x/75 hrs
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Equation:
x/50 + x/75 = 10

75x + 50x = 50*75*10

125x = 50*75*10

x = 300 miles
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Cheers,
Stan H.

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