Question 921606: Lamar drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
8
hours. When Lamar drove home, there was no traffic and the trip only took
5
hours. If his average rate was
21
miles per hour faster on the trip home, how far away does Lamar live from the mountains?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Lamar drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours.
When Lamar drove home, there was no traffic and the trip only took 5 hours.
If his average rate was 21 miles per hour faster on the trip home, how far away does Lamar live from the mountains?
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From Home::
time = 8 hrs ; rate = x mph ; distance = 8x miles
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To Home::
time = 5 hrs ; rate = x+21 mph ; distance = 5(x+21) = 5x + 105 miles
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Equation:
8x = 5x + 105
3x = 105
x = 35 mph
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Ans: distance to mountains = 8x = 8*35 = 280 miles
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Cheers,
Stan H.
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