$8$ men and $14$ women are working together in a field. After working for $3$ days, $5$ men and $8$ women leave the work. How many more days will be required to complete the work? $I$. $19$ men and $12$ women together can complete the work in $18$ days. $II$. $16$ men can complete two-third of the work in $16$ days. $III$. In $1$ day, the work done by three men in equal to the work done by four women.