Bhanu Chaudhary
Poll
Professional
Asked: 2022-03-04T08:29:18+05:30

Pipe A can fill a tank in 14 hours and Pipe B can fill the same tank in 16 hours. Because of a crack at the bottom of the tank, it takes 32 minutes more to fill the empty tank when both the pipes are kept open simultaneously. How long will the crack at the bottom take to drain a full tank if Pipes A and B are kept closed?

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Pipe A can fill a tank in 14 hours and Pipe B can fill the same tank in 16 hours. Because of a crack at the bottom of the tank, it takes 32 minutes more to fill the empty tank when both the pipes are kept open simultaneously. How long will the crack at the bottom take to drain a full tank if Pipes A and B are kept closed?

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    1 Answer

    1. Professional

      Correct Answer: 112 hours

      Pipe A and Pipe B together can fill 1/14+1/16=15/112th of the tank in an hour. That is they take 112/15 hours to fill the tank.

      Because of the crack, they will take 32 more minutes or 32/60hours more to fill the tank.

      That is 112/15+32/60=448+32/60=480/60=8hours to fill the tank. Or 1/8th of tank gets filled in an hour.

      The crack, therefore, drains 15/112−1/8=15−4/112=1/112th of the tank every hour.

      Therefore, the leak alone will take 112 hours to empty the tank.

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    aalan