$\mathrm{A}$ and $\mathrm{B}$ decompose via first order kinetics with half-lives $54.0 \min$ and $18.0 \min$ respectively. Starting from an equimolar non-reactive mixture of $\mathrm{A}$ and $\mathrm{B}$, the time taken for the concentration of $\mathrm{A}$ to become $16$ times that of $\mathrm{B}$ is ______ $\min$. (Round off to the Nearest Integer).

Hence, the correct answer is 108.