Question

A tap takes 24 hours extra to fill a tank due to a leakage equivalent to half of its inflow. The inlet pipe alone can fill the tank in how many hours?

1. 24 hours
2. 36 hours
3. 18 hours
4. 12 hours
5. none of these

Answer 1

Correct Answer - Option 1 : 24 hours

Given:

A tap takes 24 hours extra to fill a tank due to a leakage equivalent to half of its inflow.

Calculation:

Let time taken by inlet pipe to fill the tank be x

As given

Time taken by outlet to empty the tank = 2x

Then,

⇒ 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.