2016 Gauss 8 Problem 18

Joe filled up his car's gas tank. After travelling 165\,\text{km}, \frac{3}{8} of the gas in the tank was used. At this rate, approximately how much farther can the car travel before its fuel tank is completely empty?

\textbf{(A)}\ 99\,\text{km}\quad \textbf{(B)}\ 440\,\text{km}\quad \textbf{(C)}\ 605\,\text{km}\quad \textbf{(D)}\ 264\,\text{km}\quad \textbf{(E)}\ 275\,\text{km}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.