SOLUTION: A woman can hike 1 mph faster down a trail then she can uphill. It takes her 3 hours to go downhill and 6 hours uphill. What is her speed downhill?

Question 415215: A woman can hike 1 mph faster down a trail then she can uphill.
It takes her 3 hours to go downhill and 6 hours uphill.
What is her speed downhill?
Found 2 solutions by josmiceli, ewatrrr:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Going downhill:

Going uphill:

(I'm assuming the uphill and
downhill trips are the same distance)

Her speed downhill is 2 mi/hr
check answer:

mi
and

mi
OK
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi
Let x represent her speed uphill
Question states*** Note: D = r*t Distance the same uphill and downhill
x*6 = (x+1mph)*3
Solving for x
3x = 3
x = 1mph, speed uphill, downhill her speed is 2mph
CHECKING our Answer***
1mph*6 = 2mph*3 = 6mi
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