SOLUTION: Joe ran up a path to the top of a hill at an average speed of 2 mph and ran down the same path at an average speed of 8 mph. If Joe ran up and down the hill in 1 hour, what was the

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Question 319074: Joe ran up a path to the top of a hill at an average speed of 2 mph and ran down the same path at an average speed of 8 mph. If Joe ran up and down the hill in 1 hour, what was the total distance that he ran, in miles?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
D=2T
UP THE HILL.
D=8(1-T) DOWN THE HILL.
2T=8(1-T)
2T=8-8T
2T+8T=8
10T=8
T=8/10=.8 HOURS FOR THE RUN UP THE HILL.
1-.8=.2 HOURS FOR THE RUN DOWN THE HILL.
PROOF:
2*.8=8*.2
1.6=1.6
1.6+1.6=3.2 MILES IS THE TOTAL DISTANCE UP & DOWN.