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?

Answer 1

Answer:

Step-by-step explanation:

4M+6W×8D =32+48

3M+7W×10D =30+70

32M-30M=2M

70W-48W=22

2M=22W 1M=11W

(4M×11W)+6 =50×8/10

400/10 =40DAYS.

ANSWER IS 40 DAYS.

hope it is correct

Answer 2

$\huge\sf\purple{Answer:40\:days}$

Given that :-

• 4 men and 6 women can complete a work in 8 days

• while 3 men and 7 women can complete it in 10 days.

To find :-

• how many days will 10 women complete it?

$\huge\mathfrak{Solution:-}$

=> In 1 day,

4m+6w = 1/8 (of the work)

3m+7w = 1/10 (of the work)

$\color{red}{Multiply:-}$

12m+28w = 4/10

12m+18w = 3/8

$\color{red}{Subtract:-}$

10w = 2/80

10w = 1/40 (of the work)

So 10 women need 40 days to complete a work

$\huge\boxed{40\:days}$