SOLUTION: A woman can hike 1 mph faster down a trail to Fire Lake than she can on the return trip uphill. It takes her 3 hours to get to the lake and 6 hours to return. What is her speed hik
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-> SOLUTION: A woman can hike 1 mph faster down a trail to Fire Lake than she can on the return trip uphill. It takes her 3 hours to get to the lake and 6 hours to return. What is her speed hik
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Question 1090419: A woman can hike 1 mph faster down a trail to Fire Lake than she can on the return trip uphill. It takes her 3 hours to get to the lake and 6 hours to return. What is her speed hiking down to the lake? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! speed of hiking on flat ground is x
(x+1)* time=(x+1)*3=3(x+1)=3x+3 mi distance to lake
return (x-1)*6=6x-6 mi
but these distances are equal
6x-6=3x+3
3x=9
x=3 mph speed
4 mph to lake downhill*3 hours is 12 miles
2 mph back from lake uphill*6 hours is 12 miles
4 mph is the answer.
