Question

6 men and 9 women complete a task in 24 days. If the men are three times efficient than women.4 men to complete the same task?

1. 58 days
2. 54 days
3. 56 days
4. 52 days
5. 60 days

Answer 1

Correct Answer - Option 2 : 54 days

Given:

6 men and 9 women complete task = 24 days

Men are three times efficient

Calculation:

6m + 9w = 24days

According to the question,

1m = 3w, 1w = (1/3)m

Total work = [6m + 9 × (1/3)m] × 24

⇒ (6m + 3m) × 24

⇒ 216m

So, 4m complete the work = 216m/4m

⇒ 54 days

∴ The 4 men complete the work in 54 days.