Correct Answer - Option 3 : 3 days
Given:
Time taken by 6 men and 5 women to complete the work = 6 days
Time taken by 3 men and 4 women to complete the work = 10 days
Calculation:
(6m + 5w) × 6 = (3m + 4w) × 10
⇒ 36m + 30w = 30m + 40w
⇒ 6m = 10w
⇒ m/w = 5/3
Put m = 5 and w = 3
Total Work = (6 × 5 + 5 × 3) × 6
⇒ 45 × 6 = 270
⇒ Time taken by 9 men and 15 women = 270/(9 × 5 + 15 × 3)
⇒ 270/90 = 3 days
∴ 9 men and 15 women can complete the whole work in 3 days.
