SOLUTION: A scout troop hiked 3 miles up a mountain trail. They then hiked back down the same trail. They hiked 2 miles per hour faster coming downhill. the total time for the 6 mile hike wa
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Question 375577: A scout troop hiked 3 miles up a mountain trail. They then hiked back down the same trail. They hiked 2 miles per hour faster coming downhill. the total time for the 6 mile hike was 4 hours. Solve for the rate the troop hiked uphill.
You can put this solution on YOUR website! let them hike uphill at x mph
downhill they hike x+2 mph
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distance = 3 miles
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time up + time down = 4 hours
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t = d/r
LCD = x(x+2)
multiply the equation by x(x+2)
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3(x+2)+3x=4x^2+8x
3x+6+3x=4x^2+8x
reorganize
4x^2+2x-6=0
/2
2x^2+x-3=0
2x^2+3x-2x-3=0
x(2x+3)-1(2x+3)=0
(x-1)(2x+3)=0
x=1 OR x=-3/2
ignore negative
uphill rate = 1 mph
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