$\text{A}$ can do a piece of work in $24$ days, $\text{B}$ can do the same work in $30$ days and $\text{C}$ in $40$ days. $\text{A}$ and $\text{C}$ worked for $4$ days and handed it to $\text{B. B}$ worked for some days and handed it again to $\text{A}$ and $\text{C 6}$ days before completing the work. For how many days did $\text{B}$ works ?
- $10$ days
- $8$ days
- $6$ days
- $5$ days