SSC CPO 2020 PYQ — Question 110

SSC CPO - 25 Nov 2020 - Shift 2 • Quantitative Aptitude • Q110

A pump can fill a tank with water in 1 hours. Because of a leak, it took 113\frac{1}{3} hours to fill the tank. In how many hours can the leak alone drain all the water of the tank when it is full ?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 4.

A pump can fill a tank with water in 1 hour. Because of a leak, it took 113\frac{1}{3} hour to fill the tank

Now,

A work per minute = 1/1 = 1 unit

A and leakage work per minute = {1/(4/3)} = 3/4 units

Now,

⇒ 1 - 3/4 = (4 - 3)/4 = 1/4

Leakage per minute of work is 1/4

Thus, A full tank will be emptied by leakage in 4 hours