A vessel has three pipes connected to it , two to supply liquid and one to draw

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A vessel has three pipes connected to it , two to supply liquid and one to draw liquid. The first alone can fill the vessel in $$4\frac{1}{2}$$ hours, the second in 3 hours and the third can empty it in $$1\frac{1}{2}$$ hours. If all the pipes are opened simultaneously when the vessel is half full, how soon will it be emptied?

Options:

A . $$4\frac{1}{2}$$ hours

B . $$5\frac{1}{2}$$ hours

C . $$6\frac{1}{2}$$ hours

D . None of these

Answer: Option A

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