Correct Answer - Option 2 : 12
Given :
4 women and 10 children can complete a work in 10 days.
Concept used :
Total work = work efficiency × Total working time.
Calculations :
Let the efficiency of a man, a woman and a child be 3x, 2x and x units per day.
Total efficiency of 4 women and 10 children = 4 × 2x + 10 × x = 18x
Total work done by 4 women and 10 children = 18x × 10 = 180x units
Now time required to complete two times of this work by 6 men and 6 women
Total efficiency of 6 men and 6 women = 6 × 3x + 6 × 2x = 30x
Work to be completed = 2 × 180x = 360x units
So,
Time × 30x = 360x
⇒ Time = 12 days
∴ Option 2 will be the correct answer.
