There are three pipes connected to a tank. The first two can fill the tank in 20 minutes and 30 minutes, respectively. The third pipe can empty the entire tank in 5 minutes. If all the pipes are opened simultaneously, what time will it take to empty the tank?

Correct Answer: 8.57 minutes
Let the capacity of the tank be 60 litres. The efficiency of the pipes = 60 / 20, 60 / 30 and 60 / 5 respectively. The efficiency = 3, 2, 12 respectively. The relative efficiency when all the pipes are opened simultaneously = 3 + 2 – 12 = – 7 The time taken to empty the tank = 60 / 7 minutes = 8.57 minutes.