Question

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

Answer 1

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 = 1/10

Solving the two equations, we get: x = 11/400, y = 1/400

1 woman's 1 day's work = 1/400

10 women's 1 day's work = (1/400)*10 = 1/40

Hence, 10 women will complete the work in 40 days