CEMC Fermat, 2010

Algebra Difficulty 1.0 Junior Find the answer Canada

In the diagram, points $P$ , $Q$ , $R$ , and $S$ are arranged in order on a line segment. If $PQ = 1$ , $QR = 2PQ$ and $RS = 3QR$ , then the length of $PS$ is

(A) $7$ (B) $6$ (C) $9$ (D) $8$ (E) $10$

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