5 men and 2 women can do a piece of work in 9 days, whereas 11 men and 5 women can do the same work in 4 days. To complete the same work in 6 days, the number of women required is

If one man can do the job in m days,

and a woman can do it in w days, then we have
5/m + 2/w = 1/9
11/m + 5/w = 1/4
x/w = 1/6

solve for x