Question

A pump can fill a tank with water in 2 hours. Because of a leak, it took 18/5 hours to fill the tank. The leak can drain all the water of the tank in:
1. 9/2 hours
2. 7/2 hours
3. 5 hours
4. 4 hours

Answer 1

Correct Answer - Option 1 : 9/2 hours

GIVEN:

A pump can fill a tank with water in 2 hours. Because of a leak, it took 18/5 hours to fill the tank.

CALCULATION:

Suppose leak can drain all the water of the tank in ‘T’ hours.

So,

1/2 - 1/T = 5/18

⇒ 1/T = 1/2 - 5/18

⇒ 1/T = 4/18 = 2/9

Hence, leak can drain all the water of the tank in 9/2 hours.