4 men and 6 woman can complete a work in 8 days, while 3 men and 7 woman can comp,ete in 10 days .In how many days will 10 woman complete it?

4 Men and 6 Women take 8 days. So TOTAL WORK = 32 MD + 48 WD

(where MD= Mandays, & WD = Womandays, a unit of work) ……(eqn1)

3 Men and 7 Women take 10 days. So, TOTAL WORK = 30 MD + 70 WD …. (eqn2)

Equating the total work,

32 MD + 48 WD = 30 MD + 70 WD

=> 2 MD = 22 WD

=> 1 MD = 11 WD

So, replacing man days in eqn2,

TOTAL WORK = 400 WD

Now, 10 women will complete 10 WD of work in one day.

To complete 400 WD of work,

Time needed = (400 WD)/(10 WD) = 40 Days