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

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Question 1091837: Scott drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
7
hours. When Scott drove home, there was no traffic and the trip only took
4
hours. If his average rate was
27
miles per hour faster on the trip home, how far away does Scott 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!
                   SPEED          TIME         DISTANCE

GOING               r              7             d

RETURN             r+27            4             d



7r=4%28r%2B27%29
7r=4r%2B108
3r=108
r=36
-
36%2A7=highlight%28252%29----------miles distance from the mountains

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

Scott drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
7
hours. When Scott drove home, there was no traffic and the trip only took
4
hours. If his average rate was
27
miles per hour faster on the trip home, how far away does Scott live from the mountains?
Piece of advice: You don't have to determine the person's speed since that was not asked for.
You just need to set up a SPEED equation to find the distance.
I'm TIRED of seeing so many of these same "mountain" problems. Here is a list with 8 of them on here.
1001641
919699
887569
778222
838495
969368
993575
1040343
You will notice that problem # 969368 is EXACTLY like this one, with the exception that the person is YOKO instead of Scott.