8 women or 6 men can finish a piece of construction work in 12 days. 4 women and 9 men will finish the same work in
8 women = 6 men
1 woman = 68 men
4 women = 6 × 48 = 3 men
4 women and 9 men = 3 men + 9 men = 12 men
Given that
6 men finish a work in 12 days
1 man will finish a work in 12 x 6 days
12 men will finish a work in 12 × 612days = 6 days