SSC CGL 2023 PYQ — Question 67

SSC CGL - 19 July 2023 - Shift 3 • Quantitative Aptitude • Q67

10 women can do a work in 6 days and 6 men can do the same work in 5 days. If all these men and women work together, then how many days will they take to finish this work?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 28112\frac{8}{11}.

Given:

10 women can do a work in 6 days and 6 men can do the same work in 5 days.

Calculations:

Let the efficiency of man and woman be M and W.

According to the question;

⇒ 10W × 6 = 6M × 5

⇒ M/W = 2/1

Total work = 10W × 6 = 10 × 1 × 6 = 60 units

Required number of days = 60/(10W + 6M)

⇒ 60/(10 + 12) = 60/22

⇒ 28112\frac{8}{11}