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An electric pump fills a tank in 3 hours. Due to leakage in the tank, it took 3 hours 30 min to fill. In how much time will the leakage drain out all the water of the tank make it empty ?

  • A.10 hours
  • B.13 hours
  • C.17 hours
  • D.21 hours

Answer: D

We can get the answer by subtrating work done by leak in one hour by subtraction of filling for 1 hour without leak and with leak, as

Work done for 1 hour without leak = 1/3
Work done with leak =

3 1/2=7/2

Work done with leak in 1 hr = 2/7

Work done by leak in 1 hr = 1/3−2/7 = 1/21

So tank will be empty by the leak in 21 hours.

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