\textbf{160-} A particle starts from rest on a straight path with a constant acceleration of $3\,\dfrac{\text{m}}{\text{s}^2}$ and after some time its acceleration becomes a constant $1\,\dfrac{\text{m}}{\text{s}^2}$ until it finally stops. If the total distance traveled along the entire path is $600$ meters, how many meters is the distance traveled during the first $30$ seconds of motion?
\begin{itemize}
\item[(1)] 400
\item[(2)] 450
\item[(3)] 500
\item[(4)] 550
\end{itemize}