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Question

Two pipes P and Q fill a cistern in 24 and 32 minutes respectively. Both pipes are kept open. When should the first pipe be turned off so that the cistern may be just filled in 16 minutes?

A
After 10 minutes
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B
After 12 minutes
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C
After 14 minutes
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D
After 11 minutes
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Solution

The correct option is A After 12 minutes
Q works for 16 minutes
Part of cistern filled by Q in 16 minutes =1632=12
12 part of the cistern should be filled by P
So the time taken by P to fill the half part =242=12 minutes.

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