SOLUTION: The speed of a stream is 6 mph. If a boat travels 74 miles downstream in the same to time that it takes to travel 37 miles up stream, what is the speed of the boat in still water?
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Question 933931: The speed of a stream is 6 mph. If a boat travels 74 miles downstream in the same to time that it takes to travel 37 miles up stream, 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 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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