SOLUTION: a boat can travel 22 miles up a river in the same amount of time that it takes to travel 36 miles down the same river if the boat travels 10 miles per hour in still water what is t
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Question 928412: a boat can travel 22 miles up a river in the same amount of time that it takes to travel 36 miles down the same river if the boat travels 10 miles per hour in still water what is the speed of the current
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = speed of boat in still water = 10 mph
y = speed of current = ?
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s = d/t
t = d/s
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upstream:
t = 22/(x - y)
t = 22/(10 - y)
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downstream:
t = 36/(x + y)
t = 36/(10 + y)
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22/(10 - y) = 36/(10 + y)
22(10 + y) = 36(10 - y)
220 + 22y = 360 - 36y
58y = 360 - 220
y = (360 - 220)/58
y = 2.41379310345
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answer:
y = speed of current = 2.4 mph
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