SSC CGL 2023 PYQ — Question 71

SSC CGL - 14 July 2023 - Shift 1 • Quantitative Aptitude • Q71

8 men can complete a work in 45 days. 8 women can complete the same work in 18 days. In how many days will 5 men and 8 women, together, complete the same work?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e 14(2/5)

8 men × 45 = 8 women × 18

Efficiency of men = 2

Efficiency of women = 5

Total work = (8 × 2 × 45) = 720

5 men and 8 women = (5 × 2 + 8 × 5) = 10 + 40 = 50

Time = 720/50 = 14(2/5)