Correct Answer - Option 3 : 12 hrs
Given:
A tap can fill a tank in 4 hours
Due to leakage in the bottom, it takes 2 hours more
Concept:
Pipe A can fill the tank in x hrs.
∴ Pipe A can fill a tank in 1 hrs = 1/x
Calculation:
Let, the leakage can empty a completely filled tank in = x hours
According to the question,
⇒ (1/4) - (1/x) = (1/6)
⇒ (x - 4)/4x = (1/6)
⇒ 6x – 24 = 4x
⇒ 2x = 24
⇒ x = 12
∴ The leakage can empty a completely filled tank in 12 hours.