SOLUTION: it takes a botat 2 hours to travel 20 miles down a river and 3 hours to return upstream to its starting point. what is the rate of the current in the river
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Question 562223: it takes a botat 2 hours to travel 20 miles down a river and 3 hours to return upstream to its starting point. what is the rate of the current in the river Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! it takes a boat 2 hours to travel 20 miles down a river and 3 hours to return upstream to its starting point. what is the rate of the current in the river
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Down River DATA:
dist = 20 miles ; time = 2 hrs ; rate = d/t = 10 mph
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Up River DATA:
dist = 20 miles : time = 3 hrs ; rate = d/t = 20/3 mph
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Equation:
b + c = 10 mph
b - c = 20/3 mph
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2b = (10 + 20/3) = (50/3)
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b = 25/3 mph (speed of the boat in still water)
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Solve for "c":
b + c = 10
(25/3) + c = (30/3)
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c = 5/3 = 1 2/3 mph (speed of the current)
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Cheers,
Stan H.
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