Question

2 women and 5 men can do a work in 4 days and 3 women and 6 men can do the same in 3 days. find the work done by 1 man and 1 woman alone​

Answer 1

Answer:

Step-by-step explanation:

et one woman takes x days to finish the work.

And one man takes y days to finish the work.

According to the question,

4(2y + 5x) = 1 xy

8y + 20x = xy...(1)

3(3y + 6x) = xy

9y + 18x = xy...(2)

8 36 + 20x = 36x

begin mathsize 12px style 288 over 16 end style= x

x = 18

One woman takes 18 days and one man takes 36 days to finish the work.