4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

Question: 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?Solution:Let,1 man's 1 day's work = x and 1 woman's 1 day's work = y.Then, 4x + 6y = 1/8 and 3x + 7y = 1/10Solving the two equations, we get: x = 11/400 , y = 1/400∴ 1 woman's 1 day's work = 1/40010 women's 1 day's work = (1/400) × 10 = 1/40Hence, 10 women will complete the work in 40 days.