Bhanu Chaudhary
Poll
Professional
Asked: 2022-03-06T12:51:43+05:30

A pipe can fill a cistern in 12 hours and another pipe in 15 hours and a third pipe can empty it in 10 hours. In how much time will they fill the cistern when they are opened together.

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A pipe can fill a cistern in 12 hours and another pipe in 15 hours and a third pipe can empty it in 10 hours. In how much time will they fill the cistern when they are opened together.

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    1 Answer

    1. Professional

      Correct Answer: 20 hours

      Pipe A can fill in 12 hrs.

      Pipe B can fill in 15 hrs.

      Pipe C can empty in 10 hrs.

      In one hour, the pipe A can fill 1/12 part

      In one hour, the pipe B can fill. 1/15 part.

      In one hour, the pipe C can empty 1/10 part.

      If all the three open together A B C can fill (1/12+1/15−1/10) part

      = 5+4−6/60=3/60=1/20 part

      The tank can be filled in 20 hours

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    aalan