Question 482248: The speed of a stream is 4 mph, if a boat travels 44 miles downstream in the same time that it takes to travel 22 miles, 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 4 mph, if a boat travels 44 miles downstream in the same time that it takes to travel 22 miles, what is the speed of the boat in still water
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Downstream DATA:
dist = 44 miles; rate = b+4 mph ; time = 44/(b+4) hrs.
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Upstream DATA:
dist = 22 miles; rate = b-4 mph ; time = 22/(b-4) hrs
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Equation:
time up = time down
44/(b+4) = 22/(b-4)
2/(b+4) = 1/(b-4)
2(b-4) = b+4
2b-4 = b+4
b = 8 mph (speed of the boat in still water)
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Cheers,
stan H.
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