SOLUTION: In still water , Larry sails his boat at an average of 30km/h. One day, he spent as much time sailing 104km down river as he did sailing 91km back up the river. What was the rate o
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-> SOLUTION: In still water , Larry sails his boat at an average of 30km/h. One day, he spent as much time sailing 104km down river as he did sailing 91km back up the river. What was the rate o
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Question 114152: In still water , Larry sails his boat at an average of 30km/h. One day, he spent as much time sailing 104km down river as he did sailing 91km back up the river. What was the rate of the river current ? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! In still water , Larry sails his boat at an average of 30km/h. One day, he spent as much time sailing 104km down river as he did sailing 91km back up the river. What was the rate of the river current ?
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Let current rate be "c"
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Down River DATA:
Distance = 104 km ; Rate = (30+c) km/h ; Time = 104/(30+c) hrs
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Up River DATA:
Distance = 91 km ; Rate = (30-c) km/h ; Time = 91/(30-c) hrs
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EQUATION:
time up = time down
91/(30-c) = 104/(30+c)
104(30-c) = 91(30+c)
3120-104c = 2730+91c
195c = 390
c = 2 km/h (speed of the current)
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Cheers,
Stan H.
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