2 women and 5 men can together finish an embroidery work 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 work, and also that taken by 1 man alone.

Answer

18 days, 36 days

Explanation

Let 1 man's 1 day's work be ` (1)/(x) ` and 1 boy's 1 day's work be ` (1)/(y)`
Then, `(2)/(x) + ( 5)/(y) = (1)/(4) rArr 2u + 5v = (1)/(4)`
and ` (3)/(x) + (6)/(y) = (1)/(3) rArr 3u + 6v = (1)/(3)`.