Correct Answer - Option 1 : 24 hours
A tap takes 24 hours extra to fill a tank due to a leakage equivalent to half of its inflow.
Let time taken by inlet pipe to fill the tank be x
Time taken by outlet to empty the tank = 2x
⇒ 1/x – 1/2x = 1/(x + 24)
⇒ 1/2x = 1/(x + 24)
⇒ x = 24
∴ The inlet pipe alone can fill the tank in 24 hours.