Question

Two Womens are 5 men can together finish an embroidery work in 4 days while 3 women and a 6 men can finish it in 3 days find the time taken by one woman alone the and one man alone into the finish of this work

Answer 1

Step-by-step explanation:

Let the number of days taken byvwoman=x

By men=y

only one women to finish the work in one day =1/x

By only one men in one day =1/y

a/c to question

4(2/x+5/y)=1

3(3/x+6/y)=1

2/x+5/y=1/4 (equation1)

3/x+6/y=1/3 (equation2)

let p=1/x,q=1/y

2p+5q=1/4 =8p+20q=1 ( multiply by9)

3p+6q=1/3 =9p+18q=1 (multiply by 8)

72p+180q=9(solve by elimination method)

72p+144q=8

q=1/36(substitute these values in equation 1)

p=1/18(we get p value)

x=18 , y=36

I hope it will helps you