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?

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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) About Me  (Show Source):
You can put this solution on YOUR website!
Going downhill:
d+=+%28r+%2B+1%29%2A3
Going uphill:
d+=+r%2A6
(I'm assuming the uphill and
downhill trips are the same distance)
%28r+%2B+1%29%2A3+=+6r
3r+%2B+3+=+6r
3r+=+3
r+=+1
r+%2B+1+=+2
Her speed downhill is 2 mi/hr
check answer:
d+=+%28r+%2B+1%29%2A3
d+=+2%2A3
d+=+6 mi
and
d+=+r%2A6
d+=+1%2A6
d+=+6 mi
OK

Answer by ewatrrr(24785) About Me  (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