Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the cistern will be filled in : Crackverbal Support

Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the cistern will be filled in Print

Modified on: Tue, 12 Oct, 2021 at 12:17 PM

CONCEPT: Pipes and Cisterns

Effective filling work done =Filing efficiency-Emptying efficiency

SOLUTION:
Let the capacity of the tank be LCM(10,12,20)= 120 units

Efficiency of pipe A =12 units (+filling)

Efficiency of pipe B =10 units (+filling)

Efficiency of pipe C = 6 units (-emptying)

Total parts of the tank filled in an hour 12+10-6=16 units

Hence the time taken to fill in the tank is 120/16=15/2 =7.5hrs (A)

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