4 men and 6 women complete a work in 8 days, 2 men and 9 women also complete in 8 days. The number of days in which 18 women complete the work is:

Explanation:

Given

=4m+6w→8days

=32m+48w→1day ….(i)

=2m+9w→8days

=16m+72w→1day…….(ii)

from equation (i) = (ii)

=32m+48w=16m+72w

=32m−16m=72w−48w

16 m = 24 w

2m = 3w

Here, it is given that a group of 4men+6women can do the work in 8 days, converting the whole equation into women.

= 4m+6w→8days

=(2×2m)+6w→8days

=(2×3w)+6w→8days

=6w+6w→8days

=12w→8days

=i.e 12 women can do the work in 8 days

Then a group of 18 women can do the work

M1×D1=M2×D2

12w×8d=18w×?

days =12×8\ 18=5 1\3 days