4 men can complete a piece of work in 14 days while 4 women can do it in 10 days. In how many days can 5 women and 7 men complete it?

Explanation

Given: M1 (4 men) complete work in D1 (14 days) W1 (4 women) complete work in D2 (10 days) Required workforce: 7 men + 5 women. Formula Used: ​ 1 × D1 = W 1 × D2 ​ M ​ ​ ​ ​ Where M = men, W = women, D = days Solution: Now, 4M ​ × 14 = 4W × 10 56M = 40W 7M = 5W M 5 = 7 ​ ​ W Using efficiencies ratio; (7M + 5W) × D = 4M × 14 (7×5 + 5×7) × D = 4 ×5 × 14 70 × D = 20 × 14 20 × 14 D= = 4​ 70 ​ Thus, 7 men and 5 women can complete the work in 4 days.