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Pump 'A' can fill 1/6 of the tank in one hour. 1/6 is the same as 2/12 Pump 'B' can drain 1/12 of the tank in one hour. If both pumps are running at the same time, then in one hour 2/12 get filled and 1/12 gets drained, and the net effect is 1/12 getting filled in that hour. If the tank is initially empty and both pumps start at the same time, then the tank will fill in 12 hours. *edit* It takes six hours if pump B is left off.

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Q: If if takes pump A 6 hours to fill a tank and it takes pump B 12 hours to drain it then how long will it take to fill the tank?
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