Question 899155: Henry drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Henry drove home, there was no traffic and the trip only took 7 hours. If his average rate was 18 miles per hour faster on the trip home, how far away does Henry live from the mountains?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Henry drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Henry drove home, there was no traffic and the trip only took 7 hours. If his average rate was 18 miles per hour faster on the trip home, how far away does Henry live from the mountains?
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To mountains DATA:
distance = x miles ; time = 10 hrs ; rate = d/t = x/10 mph
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From mountains DATA:
distance = x miles ; time = 7 hrs ; rate = d/t = x/7 mph
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Equation:
rate - rate = 18 mph
x/7 - x/10 = 18 mph
10x - 7x = 7*10*18
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3x = 7*10*18
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x = 70*6
x = 420 miles
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Cheers,
Stan H.
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