Maths Olympiad Prep

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Algebra Difficulty 1.0 Junior Find the answer United Kingdom

PP, QQ, RR and SS are four points in that order on a straight line; PR=6 cmPR = 6\text{ cm}, QS=4 cmQS = 4\text{ cm} and RR is 1 cm1\text{ cm} nearer to SS than it is to QQ. What is the length of PSPS?

(A) 7 cm7\text{ cm} (B) 7.5 cm7.5\text{ cm} (C) 8 cm8\text{ cm} (D) 8.5 cm8.5\text{ cm} (E) 9 cm9\text{ cm}

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