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Five Men can paint a building in 20 days, 8 Women can paint the same building in 25 days and 10 Boys can paint it in 30 days. If a team has 2 Men, 6 Women and 5 Boys, how long will it take to paint the building ?

Five Men can paint a building in 20 days, 8 Women can paint the same building in 25 days and 10 Boys can paint it in 30 days. If a team has 2 Men, 6 Women and 5 Boys, how long will it take to paint the building ? Correct Answer 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

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