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UKMT Pink Kangaroo, 2021

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

A caterpillar crawled up a smooth slope from $A$ to $B$ , and crept down the stairs from $B$ to $C$ . What is the ratio of the distance the caterpillar travelled from $B$ to $C$ to the distance it travelled from $A$ to $B$ ?

(A) $1:1$ (B) $2:1$ (C) $3:1$ (D) $\sqrt{2}:1$ (E) $\sqrt{3}:1$

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