SSC CGL 2023 PYQ — Question 59

SSC CGL - 24 July 2023 - Shift 2 • Quantitative Aptitude • Q59

A pipe can fill a tank in 30 hours. Due to a leakage at the bottom, it is filled in 50 hours. How much time will the leakage take to empty the filled tank?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 75 hours.

The pipe's rate without leakage = 1/30 of the tank per hour.

The combined rate of the pipe and the leakage = 1/50 of the tank per hour.

The leakage rate is 1/30 - 1/50 = 1/75 of the tank per hour.

The time it takes for the leakage to empty the tank is 75 hours.