2 men and 3 women finish 25% of the work in 4 days, while 6 men and 14 women can finish the whole work in 5 days, In how many days will 20 women finish it?

8M + 12W = 4 days (whole work)
⇒ 32M + 48W = 1 day ................ (1)
Again 6M + 14W = 5 days
⇒ 30M + 70W = 1 day ................(2)
From eq. (1) and (2)
32M + 48W = 30M +70W
⇒ 2M = 22W
⇒ 1M = 11W
Now, 30M + 70W = 1 day
(30 X 11 X 70)W = 1 day
Therefore 400W requires 1 day to complete the whole work.
Thus 20W needs 20 days to complete the whole work.