Discussion :: Pipes and Cistern
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How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?
I.
A can fill the tank in 16 minutes.
II.
B can empty the full tank in 8 minutes.
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A.
I alone sufficient while II alone not sufficient to answer |
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B.
II alone sufficient while I alone not sufficient to answer |
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C.
Either I or II alone sufficient to answer |
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D.
Both I and II are not sufficient to answer |
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E.
Both I and II are necessary to answer |
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Answer : Option E
Explanation :
I. A's 1 minute's filling work =\( \frac { 1 } { 16 }\)
II. B's 1 minute's filling work =\( \frac { 1 } { 8 }\)
(A + B)'s 1 minute's emptying work =[\( \frac { 1 } { 8 }\)-\( \frac { 1 } { 16 }\)]=\( \frac { 1 } { 16 }\)
Tank will be emptied in 16 minutes.
Thus, both I and II are necessary to answer the question.
Correct answer is (E).
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