SSC CGL 2024 PYQ — Question 64

SSC CGL - 25 Sep 2024 - Shift 2 • Quantitative Aptitude • Q64

Two pipes X and Y can fill a tank in 14 hours and 21 hours, respectively. Both pipes are opened simultaneously to fill the tank. In how many hours will the empty tank be filled?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 8258\frac{2}{5} hours.

Two pipes X and Y can fill a tank in 14 hours and 21 hours, respectively

L.C.M(14, and 21) = 42

The efficieny of pipe X = 42/14 = 3 units

The efficieny of pipe Y = 42/21 = 2 units

So,

Time taken by both pipes = 42/(3 + 2) = 42/5 = 8258\frac{2}{5} hours