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12 men can complete a painting work in 8 days. However, 16 women can complete the same painting work in 12 days. 8 men started painting the house. After 6 days of painting, 2 men were replaced by 4 women. Now how many days will they take to complete the remaining painting? 

12 men can complete a painting work in 8 days. However, 16 women can complete the same painting work in 12 days. 8 men started painting the house. After 6 days of painting, 2 men were replaced by 4 women. Now how many days will they take to complete the remaining painting?  Correct Answer 6

Given:

12 men can complete a painting work in 8 days.

16 women can complete the same painting work in 12 days

8 men started painting the house.

After 6 days of painting, 2 men were replaced by 4 women

Formula used:

Work = Efficiency × Time

Calculation:

12 men can complete a painting work in 8 days = (12 × 8) = 96 

16 women can complete the same painting work in 12 days = (16 × 12) = 192

The ratio of men and women = (96 : 192)

⇒ 1 : 2

Total work = (12 × 1 × 8) = 96 units

Now,

8 men started the painting for 6 days = (8 × 1 × 6) = 48 units

Remaining work = (96 – 48) = 48 units

2 men were replaced by 4 women = (4 × 2) = 8 women

Now,

Time taken to complete the remaining painting = (48/8)

⇒ 6 days

∴ The required time is 6 days

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