1998 Pascal Problem 15

Four points are on a line segment, as shown.

If AB:BC=1:2 and BC:CD=8:5, then AB:BD equals

\textbf{(A)}\ 4:13\quad \textbf{(B)}\ 1:13\quad \textbf{(C)}\ 1:7\quad \textbf{(D)}\ 3:13\quad \textbf{(E)}\ 4:17

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 Pascal contests here.