The distance between $A$ and $B$ is $125 \mathrm{km}$ and there are Eight $\left(8\right)$ traffic signals in between $A$ and $B$. If a car by $50 \mathrm{km}/\mathrm{h}$ speed reaches point $B$ crossing all green signals in $2$ hours and $30$ minutes but on other days due to heavy traffic it happens to stop as follows. First Traffic Signal$-1$ minute, Second Traffic Signal$-2$ minutes and up to Eight$\left(8\mathrm{th}\right)$ signal$-8$ minutes. Calculate the total time taken by that car if it follows the total traffic signals.