Correct Answer - Option 1 : 3 days
Given:
4 boys and 3 women can do a piece of work in = 6 days
2 boys and 4 women can do the same piece of work in = 9 days
Calculation:
As per the given information,
Work done by 4 boys and 3 women in 6 days must be equal to work done by 2 boys and 4 women in 9 days.
We get the equation:
⇒ 6(4B + 3W) = 9(2B + 4W)
⇒ 24B + 18W = 18B + 36W
⇒ 6B = 18W
⇒ 1B = 3W
2B + 4W
= 2(3W) + 4W
= 6W + 4W
= 10W
10 women can complete a work in 9 days.
Similarly,
6B + 12W
= 6(3W) + 12W
= 18W + 12W
= 30W
Time is inversely proportional to efficiency
10W = 9 days
30W will complete the work in 3 days.
∴ 6 boys and 12 women to do the same piece of work in 3 days.
