Question

2 women and 5 men can together finish a piece of embroidery in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the embroidery, and that taken by 1 man alone.

Answer 1

1 women alone can finish the work in days and 1 man alone can finish it in days .then

One woman one day work=

One man one days work =

2 women’s one days work=

5 man’s one days work =

Since 2 women and 5 men can finish the work in 4 days

3 women and 6 men can finish the work in 3 days

Putting and in equation and we get

By using cross multiplication we have

Now ,

Hence, the time taken by 1 woman alone to finish the embroidery is,

The time taken by 1 man alone to finish the embroidery is .