# Problem #1435

 1435 Points $B$ and $C$ lie on $AD$. The length of $AB$ is $4$ times the length of $BD$, and the length of $AC$ is $9$ times the length of $CD$. The length of $BC$ is what fraction of the length of $AD$? $\mathrm{(A)}\ 1/36\qquad\mathrm{(B)}\ 1/13\qquad\mathrm{(C)}\ 1/10\qquad\mathrm{(D)}\ 5/36\qquad\mathrm{(E)}\ 1/5$ This problem is copyrighted by the American Mathematics Competitions.
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