SOLUTION: On a hike up hill, Ted climbs at 3 miles an hour. Going back down, he runs at 5 miles an hour. If it takes him forty minutes longer to climb up than run down, then what is the leng

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Question 1093864: On a hike up hill, Ted climbs at 3 miles an hour. Going back down, he runs at 5 miles an hour. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
           SPEED      TIME      DISTANCE

UP         3          d/3           d

DOWN       5          d/5           d

DIFFERENCE          2%2F3

Travel Rates Rule, RT=D; for RATE, TIME, DISTANCE

Forty minutes longer is 2%2F3 of an hour longer. This is the DIFFERENCE between the two time quantities.

d%2F3-d%2F5=2%2F3------solve for d.