General Aptitude - 31.2 Pipes and Cistern - Data Sufficiency 1 Free Online Tests | Mock Tests | Preparation | Practice Tests

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How much time will the leak take to empty the full cistern?
I.	The cistern is normally filled in 9 hours.
II.	It takes one hour more than the usual time to fill the cistern because of la leak in the bottom.

A. I alone sufficient while II alone not sufficient to answer

B. II alone sufficient while I alone not sufficient to answer

C. Both I and II are not sufficient to answer

D. Both I and II are necessary to answer

E. None of the above

View Answer

Correct choice: D

Explanation:

I. Time taken to fill the cistern without leak = 9 hours.

Part of cistern filled without leak in 1 hour =	1
	9

II. Time taken to fill the cistern in presence of leak = 10 hours.

Net filling in 1 hour =	1
	10

Work done by leak in 1 hour =		1	-	1		=	1
		9		10			90

∴ Leak will empty the full cistern in 90 hours.

Clearly, both I and II are necessary to answer the question.

∴ Correct answer is (E).

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