SOLUTION: Shen drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
6
hours. When Shen drove home, there was no traffic and the trip only took
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Question 1090145: Shen drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
6
hours. When Shen drove home, there was no traffic and the trip only took
4
hours. If his average rate was
22
miles per hour faster on the trip home, how far away does Shen live from the mountains?
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
speed going was x
time was 6 hours
distance was 6x
coming back speed was x+22
time was 4 hours
distance was 4(x+22)=4x+88
those two numbers are the same, so 6x=4x+88
2x=88
x=44 mph, and distance was 264 miles ANSWER
check with return trip at 66 mph for 4 hours, which is also 264 miles.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
r, travel rate going to mountains
d, distance to mountains
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