Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it

Question

Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

Options:

A . \(1\frac{13}{17}hours\)

B . \(2\frac{8}{11}hours\)

C . \(3\frac{9}{17}hours\)

D . \(4\frac{1}{2}hours\)

Answer: Option C

Net part filled in 1 hour \(\left(\frac{1}{5}+\frac{1}{6}-\frac{1}{12}\right)=\frac{17}{60}.\)

So, The tank will be full in \(\frac{60}{17}.\) hours i.e., \(3\frac{9}{17}hours\)

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