Pipe A and pipe B can fill the tank in 9 hours each, and pipe C can empty the tank in 25 hours. If pipes A, B, and C are opened simultaneously, pipe A is closed after four hours, pipe B is closed one hour before pipe A is closed, and pipe C is closed after 10 hours, then what part of the tank is filled?

11/45
22/45
11/40
10/45

Correct answer: 11/45

Solution

Each pipe A and B fills 1/9 tank per hour, while C empties 1/25 tank per hour. Considering the closing times, the net filled amount over all intervals adds up to 11/45 of the tank.

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