Question 382212
Five friends drove at an average rate of 55 miles per hour to a weekend retreat.
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To retreat DATA:
rate = 55 mph ; distance = x miles ; time = x/55 hrs
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On the way home, they took the same route averaged 75 miles per hour. 
From the retreat DATA:
rate = 75 mph ; distance = x miles ; time = x/75 hrs
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What was the distance between home and the retreat if the round trip took 10 hours 
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Equation:
time + time = 10 hrs.
x/55 + x/75 = 10 hrs.
75x + 55x = 10*55*75
130x = 10*55*75
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130x = 41250
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x = 41250/130
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x = 317.31 miles
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Cheers,
Stan H.
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