SSC GD 2023 PYQ — Question 42

SSC GD Constable (English) - 12 Jan 2023 - Shift 1 • Quantitative Aptitude • Q42

12 women and 16 men can do a piece of work in 11 days. If each woman takes twice the time taken by a man to do the work, in how many days will 16 men do the same work?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. (121/8) days.

The ratio of the efficiency of Man and Woman = 2 : 1

Total work = [(12 × 1) + (16 × 2)] × 11 = 44 × 11

So, 16 men can do the same work =  (44 × 11)/(16 × 2) = 121/8 days