CEMC Cayley, 2003

Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

Troye and Daniella are running at constant speeds in opposite directions around a circular track. Troye completes one lap every 56 seconds and meets Daniella every 24 seconds. How many seconds does it take Daniella to complete one lap?

(A) $32$ (B) $36$ (C) $40$ (D) $48$ (E) $42$

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