SOLUTION: Charmaine drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
12
hours. When Charmaine drove home, there was no traffic and the tri
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-> SOLUTION: Charmaine drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
12
hours. When Charmaine drove home, there was no traffic and the tri
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Question 1013083: Charmaine drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
12
hours. When Charmaine 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 Charmaine live from the mountains? Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! .
(rate going) x (time going)=(rate returning) x (time returning)
.
Let R=rate going; R+20=rate returning
.
(R)(12 hours)=(R+20)(8 hours)
12R=8R+160
4R=160
R=40
Her rate on the way was 40 mph.
.
Distance=Rate x Time
Distance=(40 mph)(12 hours)=480 miles
.
ANSWER: She lives 480 miles from the mountains.
.
CHECK:
480 miles=(Rate returning) x (Time returning)
480 miles=(40 mph+20mph)(8 hours)
480 miles=(60mph)(8 hours)
480 miles=480 miles
.
