Question

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

Answer 1

Step-by-step explanation:

Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y

Then, 4x + 6y = 18

and 3x + 7y = 110

Solving the two equations, we get

x=11400,y=1400

∴ 1 woman's 1 day's work = 1400

⇒ 10 women's 1 day's work = 1400×10

= 140

Hence, 10 women will complete the work in 40 days