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MathNet 2002 — Part 01 Question 147

Math Olympiad Vault · MathNet 2002 — Part 01

Question 147

Michela and Nicola are running along the perimeter of a park $C$ square $A B C D$ diagonal $6~\mathrm{km}$. Essi corrono in senso orario alla estessa velocità. Il parro cane Pallino runs all'interno del parco in the way that he always stares on the same street between Nicola and Michela. Initially Michela is at the vertex $B$ while Nicola is at the midpoint of the side $A D$. How far did Pallino travel when Nicola made a turn in the park?

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