Question 810814
A boat travels 18 mph in still water can travel 22 miles downstream in the same time as it takes to travel. 14 miles upstream. Find the speed of the current river.
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Downstream DATA:
rate = 18 + c mph ; distance = 22 miles ; time = 22/(18+c) hrs
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Upstream DATA:
distance = 14 miles ; rate 18-c mph ; time = 14/(18-c) hrs
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Equation:
22/(18+c) = 14/(18-c)
11(18-c) = 7(18+c)
198 - 11c = 126 + 7c
18c = 72
c = 4 mph (speed of the current)
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Cheers,
Stan H.
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