(Cayley 2023, Part B, Question 14, CEMC - UWaterloo)

Points $A$, $B$, $C$, and $D$ are on a line in that order.
The distance from $A$ to $D$ is $24$.
The distance from $B$ to $D$ is $3$ times the distance from $A$ to $B$.
Point $C$ is halfway between $B$ and $D$.
What is the distance from $A$ to $C$?
$(A)$ $12$
$(B)$ $8$
$(C)$ $16$
$(D)$ $9$
$(E)$ $15$

Answer Submission Note(s)
Your answer should be a single capital letter, e.g. 'A'.