4 men and 6 women can complete a piece of work in 8 days, while 3 men and 7 women can complete the same work in 10 days. In how many days will 10 women complete it?
A
50
B
45
C
40
D
35
Correct Option:
C
Explanation
1. 8(4M + 6W) = 10(3M + 7W), so 32M + 48W = 30M + 70W, giving 2M = 22W and 1M = 11W.
2. Total work = [4(11W) + 6W] × 8 = 50W × 8 = 400 woman-days.
3. Time required for 10 women = 400 ÷ 10 = 40 days.
