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?

After

10

minutes

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After

12

minutes

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After

14

minutes

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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 $= \frac{16}{32} = \frac{1}{2}$
$\Rightarrow \frac{1}{2}$ part of the cistern should be filled by $P$
So the time taken by $P$ to fill the half part $= \frac{24}{2} = 12$ minutes.

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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?

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

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?

The correct option is A After $12$ minutes
$Q$ works for 16 minutes
Part of cistern filled by $Q$ in 16 minutes $= \frac{16}{32} = \frac{1}{2}$
$\Rightarrow \frac{1}{2}$ part of the cistern should be filled by $P$
So the time taken by $P$ to fill the half part $= \frac{24}{2} = 12$ minutes.