Inlet minus outlet

Water flows into the tank through two pipes and out of the third pipe spontaneously. Pipe A would fill the tank in 3 hours, pipe B would fill in 4 hours, and pipe C would flow out in 12 hours. How long will the tank be full if all three pipes open simultaneously?

Correct answer:

t =  2 h

Step-by-step explanation:


t·(1/3 + 1/4 - 1/12)=1

6t = 12


t = 12/6 = 2

t = 2

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