SOLUTION: Alan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Alan drove home, there was no traffic and the trip only took

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Question 914160: Alan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
8
hours. When Alan drove home, there was no traffic and the trip only took
5
hours. If his average rate was
21
miles per hour faster on the trip home, how far away does Alan live from the mountains?
Do not round

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
( average rate ) = ( total distance ) / ( total time )
Let +d+ = total distance traveled
+21+=+d+%2F+13+
+d+=+13%2A21+
+d+=+273+ mi
------------------
The distance from the mountains is 1/2 the
total distance
+273%2F2+=+136.5+
Alan lives 136.5 miles from the mountains