SSC GD 2023 PYQ — Question 42

SSC GD Constable (English) - 27 Jan 2023 - Shift 2 • Quantitative Aptitude • Q42

If 6 men can complete a work in 4 days and 3 women can complete the same work in 7 days, then find the time taken to complete same work by 8 men and 3 women.

Show answer & explanation

Correct answer: B

Explanation

 The Correct answer is option 2 i.e. 2110\frac{21}{10}.

6 men can complete a work in 4 days and 3 women can complete the same work in 7 days

6 men × 4 = 3 women × 7

8 men = 7 women

Thus, the efficiency of men = 7 and,

The efficiency of women = 8

Total work = (6 × 7 × 4) = 168

8 men and 3 women = (8 × 7 + 3 × 8) = 56 + 24 = 80

Time = 168/80 = 21/10