SSC CGL 2023 PYQ — Question 55

SSC CGL - 24 July 2023 - Shift 2 • Quantitative Aptitude • Q55

P and Q together can complete a piece of work in 6 days. If P can alone complete the work in 18 days, then the number of days required for Q to finish the work is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 9 days.

Total work (LCM of 6, 18) = 18

The efficiency of P and Q = 18/6 = 3

The efficiency of P = 18/18 = 1

So, the efficiency of Q = 3 - 1 = 2

Hence, the time taken by Q to do the work alone = 18/2= 9 days.