SOLUTION: I walk down the mountain 2mph faster than I walk up the mountain. If it takes me 3 hrs to come down the mountain and 4 hrs to go up, how many miles UP did I hike?

Question 885043: I walk down the mountain 2mph faster than I walk up the mountain. If it takes me 3 hrs to come down the mountain and 4 hrs to go up, how many miles UP did I hike?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I walk down the mountain 2mph faster than I walk up the mountain.
If it takes me 3 hrs to come down the mountain and 4 hrs to go up, how many miles UP did I hike?
:
let s = his speed up the mountain
then
(s+2) = speed down
:
Find the speed first
:
The dist up and dist down is equal, write a distance equation; dist = time * speed
4s = 3(s+2)
4s = 3s + 6
4s - 3s = 6
s = 6 mph up the mountain
then
4 * 6 = 24 mi is the distance
;
:
Check the dist with down speed
3 * 8 = 24 mi
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