Discussion :: Pipes and Cistern
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If both the pipes are opened, how many hours will be taken to fill the tank?
I.
The capacity of the tank is 400 litres.
II.
The pipe A fills the tank in 4 hours.
III.
The pipe B fills the tank in 6 hours.
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A.
Only I and II |
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B.
Only II and III |
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C.
All I, II and III |
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D.
Any two of the three |
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E.
Even with all the three statements, answer cannot be given. |
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Answer : Option B
Explanation :
II. Part of the tank filled by A in 1 hour =\(\frac { 1 } { 4}\)
III. Part of the tank filled by B in 1 hour =\(\frac { 1 } { 6}\)
(A + B)'s 1 hour's work =[\(\frac { 1 } { 4}\)+\(\frac { 1 } { 6}\)]=\(\frac { 5} { 12}\)
A and B will fill the tank in\(\frac { 12} { 5}\)hrs = 2 hrs 24 min
So, II and III are needed.
Correct answer is (B).
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