Inlet minus outlet

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

Correct result:

t =  2 h

Solution:


t•(1/3 + 1/4 - 1/12)=1

6t = 12

t = 2

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