SSC CGL 2023 PYQ — Question 63

SSC CGL - 19 July 2023 - Shift 3 • Quantitative Aptitude • Q63

Work done by 8 men is completed in 10 days. The same work can be completed in 12 days when done by 10 women. How many days will it take to complete when 4 men and 4 women are employed to perform the same job?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 12.

Given:

Work done by 8 men is completed in 10 days.

The same work is completed in 12 days when done by 10 women.

Calculations:

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

According to the question;

⇒ 8M × 10 = 10W × 12

⇒ M/W = 3/2

⇒ 2M = 3W

So, (4M + 4W) = 6W + 4W = 10W

According to the question, ten women can finish the work in 12 days.

Therefore, four men and four women can complete the work in 12 days.