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)   (Show Source): You can put this solution on YOUR website!
           SPEED      TIME      DISTANCE

UP         3          d/3           d

DOWN       5          d/5           d

DIFFERENCE          

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

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

------solve for d.

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