SOLUTION: If a boat is travelling at x mph for 3 hours upstream on a trip, and goes 2 mph faster on the return trip which lasts 2.5 hours, how far does the boat travel upstream?

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Question 823532: If a boat is travelling at x mph for 3 hours upstream on a trip, and goes 2 mph faster on the return trip which lasts 2.5 hours, how far does the boat travel upstream?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If a boat is travelling at x mph for 3 hours upstream on a trip, and goes 2 mph faster on the return trip which lasts 2.5 hours, how far does the boat travel upstream?
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Upstream DATA:
time = 3 hrs ; rate = x mph ; distance = 3x miles
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Downstream DATA:
time = 2.5 hrs ; rate = (x+2) mph ; distance = (5/2)(x+2) miles
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Equation:
distance up = distance back
3x = (5/2)x + 5
(1/2)x = 5
x = 10 mph
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Distance = 3x = 30 miles
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Cheers,
Stan H.
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