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

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