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Two pipes A and B can fill a cistern in 37 1/2minutes 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:

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1. 

Two pipes A and B can fill a cistern in 371-div-1by2minutes 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:

[A]. 5 min.
[B]. 9 min.
[C]. 10 min.
[D]. 15 min.

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 1-sym-oparen-h1 2 + 1 1-sym-cparen-h1 + (30 - x). 2 = 1
75 45 75
11x + (60 -2x) = 1
225 75

 11x + 180 - 6x = 225.

 x = 9.

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