10 men and 15 women can do a piece of work in 6 days.12 men and 27 women can do the same work in 4 days how long 6 men and 11 women take to do it?

$6(10M+15W)=(12M+27W)4$

$\Rightarrow 60M+90W=48M+108W$

$\Rightarrow 12M=18W\Rightarrow 2M=3W\to \left(1\right)$

Now $6M+11W=3\left(2M\right)+11W$

$=3\left(3W\right)+11W$

$=9W+11W$

$=20W$

Given that

$10M+15W=6$ days

$5\left(2M\right)+15W$

$=5\left(3W\right)+15W$

$=15W+15W$

$=30W\to 6$ Days

$20W\to$

$=\frac{30}{20}\times 6=9$ days