Question 1109976
Heather drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Heather drove home, there was no traffic and the trip only took 8 hours. If her average rate was 20 miles per hour faster on the trip home, how far away does Heather live from the mountains?
Do not do any rounding.
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Going DATA:
time = 12 hrs ; rate = r mph ; distance = 12r miles
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Return DATA:
time = 8 hrs ; rate = r+20 ; distance = 8r + 160 miles
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Equation:
dist = dist
12r = 8r+160
4r = 160
rate = 40 mph (going rate)
Ans: dist = 12*40 = 480 miles
Cheers,
Stan H.
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