SOLUTION: The speed of a stream is 4 mph. A boat travels 6 miles upstream in the same time it takes to travel 14 miles downstream. What is the speed of the boat in still water?
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Question 915883: The speed of a stream is 4 mph. A boat travels 6 miles upstream in the same time it takes to travel 14 miles downstream. What is the speed of the boat in still water? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The speed of a stream is 4 mph. A boat travels 6 miles upstream in the same time it takes to travel 14 miles downstream. What is the speed of the boat in still water?
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Upstream DATA:
distance = 6 miles ; time = x hrs ; rate = 6/x mph
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Downstream DATA:
distance = 14 miles ; time = x hrs; rate = 14/x mph
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Equation:
b -4 = 6/x
b +4 = 14/x
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Subtract to solve for "x"::
8 = 8/x
x = 1 hr
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Equations:
b - 4 = 6/x = 6
b + 4 = 14/x = 14
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b = 10 mph (speed of the boat in still water)
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Cheers,
Stan H.
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