SOLUTION: Milan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Milan drove home, there was no traffic and the trip only took 4

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Question 947776: Milan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Milan drove home, there was no traffic and the trip only took 4 hours. If his average rate was 27 miles faster on the trip home, how far does Milan live from the mountains?
No rounding up
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
______________________rate___________time______________distance
GO_____________________r_______________7_________________d
BACK__________________r+27_____________4_________________d

"average rate was 27 miles faster on the trip home,"
should be
"average rate was 27 miles-per-hour faster on the trip home,"


system%28r%2A7=d%2C%28r%2B27%29%2A4=d%29

r=d%2F7
Substitute into the BACK equation.
%28d%2F7%2B27%294=d
%28d%2B27%2A7%29%2A4=27d
4d%2B27%2A28=27d
27%2A28=23d
d=27%2A28%2F23
highlight%28d=32%2620%2F23%29-------YES!!! THIS IS THE DISTANCE BETWEEN HOME AND MOUNTAINS.