2000 Cayley Problem 8

On a 240 kilometre trip, Corey's father drove \frac{1}{2} of the distance. His mother drove \frac{3}{8} of the total distance and Corey drove the remaining distance. How many kilometres did Corey drive?

\textbf{(A)}\ 80\quad \textbf{(B)}\ 40\quad \textbf{(C)}\ 210\quad \textbf{(D)}\ 30\quad \textbf{(E)}\ 55

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 Cayley contests here.