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Math·Geometry and Trigonometry·Lines, angles, and triangles

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In triangle $XYZ$, a line segment $VW$ is parallel to $XZ$, with $VW=35$ and $XZ=55$, as shown in the figure. If $YV=a$, $VX=c$, $YW=b$, and $WZ=d$, and we are given $\frac{a}{c}=k$ and $\frac{b}{d}=k$, what is the value of $k$?

A

$\frac{4}{7}$

B

$\frac{7}{4}$

C

$\frac{7}{11}$

D

$\frac{11}{7}$