Question 113582: mario paddled his caneo upstream for 3 hours. when he turned around and paddled back to his starting point, it took him only 1 hour. if the river flows at a speed of 3 miles per hour, how fast could mario paddle his canoe in still water?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! mario paddled his canoe upstream for 3 hours. when he turned around and paddled back to his starting point, it took him only 1 hour. if the river flows at a speed of 3 miles per hour, how fast could mario paddle his canoe in still water?
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Upstream DATA:
Time = 3 hrs; distance = x miles: Rate = d/t = x/3 mph
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Downstream DATA:
Time = 1 hr ; distance = x miles; Rate = d/t = x mph
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EQUATIONS:
Let speed of the boat in still water be "b":
Upstream EQUATION: b-3 = x/3
Downstream EQUATN: b+3 = x
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Subtract 1st equation from 2nd to get:
6 = (2/3)x
x = 9
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Substitute into b+3 = x to solve for "b".
b + 3 = 9
b = 6 mph (this is the speed of the canoe in still water)
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Cheers,
Stan H.
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