SOLUTION: on a certain river, a paddle boat travels 8 miles upstream against the current in the same amount of time it travels 16 miles downstream with the current . If the current of the ri
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Question 923702: on a certain river, a paddle boat travels 8 miles upstream against the current in the same amount of time it travels 16 miles downstream with the current . If the current of the river is 2 miles per hour determine the speed of the boat in still water Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! s = d/t
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b = boat speed in still water
c = current speed
c = 2 mph
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up:
b - c = 8/t
b - 2 = 8/t
b = 8/t + 2
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down:
b + c = 16/t
b = 16/t - 2
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8/t + 2 = 16/t - 2
8/t = 4
t = 2 hours
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b = 8/t + 2
b = 8/2 + 2
b = 4 + 2
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answer:
b = 6 mph
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