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Q.

Due to hole at the bottom of the tank, a tap takes 2 more minutes to completely fill the tank. Due to leakage of water through this hole, a bucket filled completely with water gets emptied in 4 minutes. In how much time can the tap fill the tank, if there was no hole at the bottom at the tank?

 A.

8 min

 B.

2 min

 C.

4 min

 D.

6 min

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Solution:
Option(B) is correct

Let the tap completely fill the tank (with no hole in it) in $x$ min

\(\Rightarrow \dfrac{1}{x}-\dfrac{1}{4}=\dfrac{1}{x+2}\)

$⇒ x$ = 2 minutes.


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