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Two pipes, A and B, can fill a cistern in 10 minutes and 12 minutes respectively. Pipe C can empty the cistern in 15 minutes. If all 3 pipes are opened together, how long will it take to fill the cistern completely?

Solution

✅ Correct Option: 2

Net rate per minute =110+112−115=6+5−460=760=\frac{1}{10}+\frac{1}{12}-\frac{1}{15}=\frac{6+5-4}{60}=\frac{7}{60}.

So the cistern fills in 607\frac{60}{7} minutes.

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