Pipes and Cistern - Arithmetic Aptitude Questions and Answers

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Discussion :: Pipes and Cistern

Two pipes A and B can fill a cistern in 3 $\frac { 1 } { 2 }$ minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

5 min.

9 min.

10 min.

15 min.

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Answer : Option B

Explanation :

Let B be turned off after x minutes. Then,

Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1.

x [ $\frac { 2 } { 75 }$ + $\frac { 1 } { 45 }$ ] + (30-x) $\frac { 2 } { 75 }$ =1

$\frac { 11X } { 225 }$ + $\frac {(60-2X0 } { 75 }$ =1

11x + 180 - 6x = 225.

x = 9.

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