CAYLEY 2023 Problem 14

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 ?

Answer Choices
A. 12
B. 8
C. 16
D. 9
E. 15