SOLUTION: the speed of a stream is 5 mph. a boat travels 1 mile per hour in the time it takes to travel 11 miles downstream .what is the speed of the boat in still water?
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Question 431299: the speed of a stream is 5 mph. a boat travels 1 mile per hour in the time it takes to travel 11 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 5 mph. a boat travels 1 mile per hour in the time it takes to travel 11 miles downstream .what is the speed of the boat in still water?
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Upstream DATA:
distance = 1 mile ; rate = b-5 mph ; time = 1/(b-5) hrs.
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Downstream DATA:
distance = 11 miles ; rate = b+5 mph ; time = 11/(b+5) hrs.
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Equation:
time = time
1/(b-5) = 11/(b+5)
b+5 = 11(b-5)
b+5 = 11b-55
10b = 60
b = 6 mph (speed of the boat in still water)
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Cheers,
Stan H.
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