SOLUTION: gregory hiked from the base of a mountain to its top at an average rate of 2 miles per hour and hiked down the mountain following the same path at an average rate of 3 miles per ho

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Question 1177600: gregory hiked from the base of a mountain to its top at an average rate of 2 miles per hour and hiked down the mountain following the same path at an average rate of 3 miles per hour. If Gregory hiked, excluding rest stops, for a total of 8 hours, how many miles was it from the base to the top of the mountain?
Answer by ikleyn(52770) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let d be one way distance.


Then you have this "time equation"


    d%2F2 + d%2F3 = 8  hours.


To solve it, multiply both sides by 6


    3d + 2d = 24

      5d    = 24

       d    = 24%2F5 miles = 4 4.5 miles = 4.8 miles.     ANSWER

Solved.