Fermat 2023 Part A - Question 10, CEMC UWaterloo

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Difficulty: 4

This problem is tagged with fermat, fermat23, highschool.

(Fermat 2023, Part A, Question 10, CEMC - UWaterloo)

Points $A$, $B$, $C$, and $D$ lie along a line, in that order. If $AB : AC = 1 : 5$, and $BC : CD = 2 : 1$, then the ratio $AB : CD$ is equal to
$(A)$ $1:1$
$(B)$ $1:2$
$(C)$ $1:3$
$(D)$ $2:5$
$(E)$ $3:5$

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