Correct Answer - Option 4 : 14 hours
Given:
Time taken by a tap fills the tank with water = 2 hours
Time taken by a leakage = 2,1/3
Formula used:
Efficiency = Work/Time
Calculation:
Part of the tank filled by the pump in 1 hour = 1/2
Total part of the tank filled by the pump and leak in 1 hour = 1/(7/3) = 3/7
so part of the tank emptied by the leak in 1 hour = 1/2 - 3/7
⇒ (7 - 6)/14 = 1/14
∴ The leak will empty the tank in 14 hours