A tap can fill a tub in 10 hours After opening the tap for 5 hours it was found that a small outlet ...........

Quantitative Aptitude (CDS) Time & distance

A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking through it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?

35 hours

25 hours

20 hours

17 hours

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Explanation:

Let us assume the capacity of the tub is 100L.
It is given that a tap can fill 100L in 10 hrs. This means, in 1 hr. a tap can fill only 10L.
Therefore, in 7 hrs a tap can fill only 70L.This means in 5 hrs a tap fills only 30L but actually the tap should fill 50L in 5 hrs. This means that there is a leakage of 20L which has duration of 5 hrs.
If 20L of water is leaked in 5 hrs, then 1L water is leaked in 5 / 20=14 hrs.
This means 100L water is leaked in 14 x100 = 25 hrs.
Hence option (2)