SSC CGL 2023 PYQ — Question 53

SSC CGL - 17 July 2023 - Shift 4 • Quantitative Aptitude • Q53

A can complete a work in 18 days, while B can complete it in 12 days. B worked on it for 4 days. How long will A take to finish the remaining work?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 12 days.

Given:

A can complete a work in 18 days

B can complete it in 12 days

Calculations:

Total work = (LCM of 18, 12) = 36 units

The efficiency of A = 36/18 = 2

The efficiency of B = 36/12 = 3

B worked on it for 4 days

So, the work of B in 4 days = 4 × 3 = 12 units

The remaining work = 36 - 12 = 24 units

Hence, this work is completed by A in = 24/2 = 12 days