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Three taps A, B and C can fill a tank in 8, 10 and 12 hours respectively. The tap A is open all the time continuously. But taps B and C are open for one hour each alternately. How long will it take the tank to be full?

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Three taps A, B and C can fill a tank in 8, 10 and 12 hours respectively. The tap A is open all the time continuously. But taps B and C are open for one hour each alternately. How long will it take the tank to be full?






 
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