SOLUTION: a boat can travel on a river 4 miles upstream in the same time it takes to travel 7 miles downstream. find the speed of the current if the speed of the boat in still water is 11 mi
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Question 671360: a boat can travel on a river 4 miles upstream in the same time it takes to travel 7 miles downstream. find the speed of the current if the speed of the boat in still water is 11 miles per hour
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a boat can travel on a river 4 miles upstream in the same time it takes to travel 7 miles downstream. find the speed of the current if the speed of the boat in still water is 11 miles per hour
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Upstream DATA:
distance = 4 miles ; rate = 11-c ; time = 4/(11-c)
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Downstream DATA:
distance = 7 miles ; rate = 11+c ; time = 7/(11+c)
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Equation:
time = time
4/(11-c) = 7/(11+c)
4(11+c) = 7(11-c)
44 + 4c = 77-7c
11c = 33
c = 3 mph (speed of the current)
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Cheers,
Stan H.
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