SOLUTION: Chang drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Chang drove home, there was no traffic and the trip only took

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Question 985296: Chang drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Chang drove home, there was no traffic and the trip only took 7 hours. If his average rate was 18 miles per hour faster on the trip home, how far away does Chang live from the mountains?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!


GOING          r        10       d
BACK HOME     r+18       7       d


Both ways traveling are equal,but you want to solve for d.

system%28r%2A10=d%2C%28r%2B18%29%2A7=d%29

7r%2B7%2A18=d
7%28d%2F10%29%2B7%2A18=d
7%2A18=d-%287%2F10%29d
d=7%2A18%2A%2810%2F7%29
highlight%28d=180%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Chang drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Chang drove home, there was no traffic and the trip only took 7 hours. If his average rate was 18 miles per hour faster on the trip home, how far away does Chang live from the mountains?
Distance: highlight_green%28420%29 miles