SOLUTION: The speed of a boat in still water is 10 mph. If the boat travels 108 miles upstream in the same time it takes to travel 132 miles downstream, find the speed of the current.
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-> SOLUTION: The speed of a boat in still water is 10 mph. If the boat travels 108 miles upstream in the same time it takes to travel 132 miles downstream, find the speed of the current.
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Question 856939: The speed of a boat in still water is 10 mph. If the boat travels 108 miles upstream in the same time it takes to travel 132 miles downstream, find the speed of the current. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The speed of a boat in still water is 10 mph. If the boat travels 108 miles upstream in the same time it takes to travel 132 miles downstream, find the speed of the current.
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Upstream DATA:
dist = 108 miles ; rate = c-10 mph ; time = d/r = 108/(c-10)
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Downstream DATA:
dist = 132 miles ; rate = c+10 mph ; time = 132/(c+10)
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Equation:
108/(c-10) = 132/(c+10)
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108c + 1080 = 132c - 1320
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24c = 2400
c = 100 mph (rate of the current-----unbelievable)
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Cheers,
Stan H.
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