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. How can 10 minutes be 25/6 as given in the answer?

let the work done by women = x and men = y . now 2x +5y = 14.....1also 3x +6y = 13.......2multiplying eq 1 by 3 and eq 2 by 2  and subtracting , we get  3y = 34-23 or, 3y = 112or, y = 148. putting this value we will get 3x =13-18=524 or , x = 572 One man will take 48 days  and  1 women will take 14.4 days . Hope this would have cleared your doubt .

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