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A cistern can be filled in 9 hours but due to a leak at its bottom it takes 10 hours. If the cistern is full, then the time that the leak will take to make it empty will be ?

  • A.20 hours
  • B.19 hours
  • C.90 hours
  • D.80 hours

Answer: C

Part filled without leak in 1 hour = 1/9

Part filled with leak in 1 hour = 1/10

Work done by leak in 1 hour

=1/9-1/10=190

We used subtraction as it is getting empty.

So total time to empty the cistern is 90 hours

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