SOLUTION: a canoeist goes upstream at the rate of 8 miles per hour. he returns downstream at the rate of 12 Miles per hour . If the round trip takes 5 hours, how far upstream did he go?

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Question 995281: a canoeist goes upstream at the rate of 8 miles per hour. he returns downstream at the rate of 12 Miles per hour . If the round trip takes 5 hours, how far upstream did he go?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a canoeist goes upstream at the rate of 8 miles per hour. he returns downstream at the rate of 12 Miles per hour . If the round trip takes 5 hours, how far upstream did he go?
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upstream DATA:
rate = 8 mph ; distance = x miles ; time = d/r = x/8 hrs.
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downstream DATA:
rate = 12 mph ; distance = x miles; time = d/r = x/12 hrs
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Equation:
time + time = 5 hrs
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x/8 + x/12 = 5 hrs
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12x + 8x = 5*8*12
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20x = 480
x = 24 miles
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Cheers,
Stan H.
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