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?

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

1.	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?
A.	$4\frac{1}{2}$$ hours
B.	$5\frac{1}{2}$$ hours
C.	$6\frac{1}{2}$$ hours
D.	one of these
Answer» B. $5\frac{1}{2}$$ hours

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