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A pipe can empty a tank in 2 minutes. Another pipe can empty the tank in 12 minutes, and a third pipe can fill the tank in 22 minutes. What is the time required to empty the tank if all the pipes are opened simultaneously?

Correct Answer: 1.85 minutes
Let the capacity of the tank be 132 litres. The efficiency of the pipes = 132 / 2, 132 / 12 and 132 / 22 respectively. The efficiency of the pipes = 66, 11 and 6 respectively. The relative efficiency to empty the tank = 66 + 11 – 6 = 71 litres per minute. The time required to empty the tank = 132 / 71 = 1.85 minutes.

Find the appropriate relation for quantity 1 and quantity 2 in the following question: An artificial kund is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the kund at the same time during which the kund is filled by the third pipe alone. The second pipe fills the kund 5 hours faster than the first pipe and 4 hours slower than the third pipe. Quantity 1: The time required by the first pipe? Quantity 2: Time taken by all three pipes to fill the Kund simultaneously

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A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:

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A pipe can fill a tank in 3 minutes if other two pipes can empty the tank in 2 minutes and 5 minutes respectively, find the time to empty the tank if all the pipes are opened simultaneously.

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A pipe, working at full speed, can fill an empty cistern in 1 hour. However, during the first hour it worked at one-twelfth of its capacity, during the second hour at one-ninth of its capacity, during the third hour at one-sixth of its usual capacity and during the fifth hour it was only one -third as efficient as it was supposed to be. A second pipe also displayed similar performance, but if it worked at full speed would have filled the empty cistern in 2 hours. Together with a drain pipe that drained water out of the tank at a constant rate, the empty cistern could be filled in 5 hours, all the three pipes working concurrently. How many hours will it take the drain pipe to empty the filled cistern if no other pipe was functioning during the time?