SOLUTION: Kelsey drives to her sister’s house in 5 hours when there is heavy traffic. When there is no traffic, the same trip takes 4 hours. She can drive an average of 12 mph faster when

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Question 765227: Kelsey drives to her sister’s house in 5 hours when there is heavy traffic. When there is no traffic, the same trip takes 4 hours. She can drive an average of 12 mph faster when there is no traffic than when there is heavy traffic. What is the distance from her house to her sister’s house?

Answer by reviewermath(1029) About Me  (Show Source):
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Q:
Kelsey drives to her sister’s house in 5 hours when there is heavy traffic. When there is no traffic, the same trip takes 4 hours. She can drive an average of 12 mph faster when there is no traffic than when there is heavy traffic. What is the distance from her house to her sister’s house?
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A:
Let x = distance from Kelsey's house to her sister’s house
(speed when there is no traffic) - (speed when there is traffic) = 12 mph
x%2F4+-+x%2F5+=+12
60%28x%2F4+-+x%2F5%29+=+60%2812%29
15x - 12x = 720
3x = 720
x = 240 miles
ANSWER: highlight%28240%29 miles