Question 887569: Heather drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Heather drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Heather live from the mountains?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Heather drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Heather drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Heather live from the mountains?
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To the mts DATA:
time = 9 hrs ; rate = r mph ; distance = 9r miles
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From the mts DATA:
time = 4 hrs ; rate = r+40 mph ; distance = 4(r+40) miles
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Equation:
distance to = distance from
9r = 4r + 160
5r = 160
r = 32 mph
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Ans: distance = 9r = 9*32 = 288 miles
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Cheers,
Stan H.
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