$\text{A, B}$ and $\text{C}$ can do a piece of work in $36,54$ and $72$ days respectively. They started the work but $\text{A}$ left $8$ days before the completion of the work while $\text{B}$ left $12$ days before the completion. The number of days for which $\text{C}$ worked is :
- $4$
- $8$
- $12$
- $24$