In \triangle A B C points D and E lie on \overline{B C} and \overline{A C}, respectively. If \overline{A D} and \overline{B E} intersect at T so that A T / D T=3 and B T / E T=4, what is C D / B D ?
Answer Choices
A. \dfrac{1}{8}
B. \dfrac{2}{9}
C. \dfrac{3}{10}
D. \dfrac{4}{11}
E. \dfrac{5}{12}