The leak will make it empty in:

A cistern is normally filled in 8 hours; but takes two hours more to fill because of a leak in its bottom . If the cistern is full, the leak will make it empty in:

  1. 18 hours
  2. 28 hours
  3. 40 hours
  4. None of these
Anurag Mishra Professor Asked on 8th January 2016 in Maths.
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1 Answer(s)

Answer: (3) 40 hours 

Explanation:-
A cistern is normally filled = 8 hours
Therefore, a cistern can fill in an hour = 1/8

But takes two hours to fill because of a leak in its bottom.
Then, time taken by a cistern to fill = 10 hours
Therefore, a cistern can fill in a an four = 1/10

So, The cistern is empty in an hour by leak = 1/8 – 1/10
= (5 – 4)/40
= 1/40

Thus, the leak will take it empty = 40 hours.

Hence, the correct answer is option (3) 40 hours.

Anurag Mishra Professor Answered on 8th January 2016.
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