Question 933931
The speed of a stream is 6 mph. If a boat travels 74 miles downstream in the same time that it takes to travel 37 miles up stream, what is the speed of the boat in still water?
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Downstream DATA:
dist = 74 miles ; rate = b+6; time = 74/(b+6)
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Upstream DATA:
dist = 37 miles ; rate = b-6 ; time = 37/(b-6)
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Equation:
74/(b+6) = 37/(b-6)
74b - 6*74 = 37b + 6*37
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37b = 6(37+74)
37b = 666
boat speed = 666/37 = 18 mph
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Cheers,
Stan H.
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