Question

8 women and 12 men can together finish an embroidery work in 10 days, while 6 women and 8 men can finish it in 14 days. Then, the time taken by 1 woman alone to finish the work is

Answer 1

Answer:

140 days

Step-by-step explanation:

8 women and 12 men can together finish an embroidery work in 10 days

8W+ 12M= 1/10

80W+ 120M= 1 ---------> (1)

6 Women and 8 men can finish it in 14 days

6W+ 8M = 1/14

84W + 112M = 1 ------------>(2)

solving eqn (1) and (2)

W = 1/140 and M = 1/280

1 Women alone can finish the work in 140 days