Correct Answer - Option 4 : 15 days
Given:
5 Men can paint a building in 20 days
8 Women can paint the same building in 25 days
10 Boys can paint it in 30 days
Calculation:
5 men can paint in 20 days
Efficiency of 1 men = 1/(5 × 20) = 1/100 units
8 Women can paint in 25 days
Efficiency of 1 women = 1/(25 × 8) = 1/200 units
10 Boys can paint it in 30 days
Efficiency of 1 boy = 1/(10 × 30) = 1/300 units
Total work done by team of 2 men, 6 women and 5 boys in 1 day
⇒ 2/100 + 6/200 + 5/300 = 1/15 units
∴ Number of days taken by 2 men, 6 women and 5 boys = 15 days