SSC CGL 2023 PYQ — Question 72

SSC CGL - 26 July 2023 - Shift 4 • Quantitative Aptitude • Q72

Ramesh alone can complete a work in 24 days. Ramesh and Somesh can complete it in 8 days. How long will Somesh alone take to complete the work?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 12 days.

Let the total work to be done = LCM of 8 and 24 = 24 units

The Efficiency of Ramesh = 242424 \over 24 = 1 unit/day

The efficiency of Ramesh and Somesh together = 24824 \over 8 = 3 units/day

⇒ Efficiency of Somesh = 3 - 1 = 2 units/day

Time taken by Somesh alone to complete the work = 24224 \over 2 = 12 days