SOLUTION: how far can a man drive out into the country at the average rate of 60 mph and return over the same road at the average rate of 45 mph if he travels a total of 7 hours?

Question 362666: how far can a man drive out into the country at the average rate of 60 mph and return over the same road at the average rate of 45 mph if he travels a total of 7 hours?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How far can a man drive out into the country at the average rate of 60 mph and return over the same road at the average rate of 45 mph if he travels a total of 7 hours?
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Out bound DATA:
rate = 60 mph ; distance = x miles ; time = d/r = x/60 hrs.
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Return DATA:
rate = 45 mph ; distance = x miles ; time = d/r = x/45 hrs
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Equation:
time + time = 7
x/60 + x/45 = 7
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45x + 60x = 7*60*45
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105x = 18900
x = 180 miles
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Cheers,
Stan H.
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