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Problem of the Week
Problem D
Walking Away

Anna, Biljana, and Cees stand in a row in a large field. Anna is \(180\) m west of Biljana and Cees is \(450\) m east of Biljana. At the same time, Anna and Cees begin walking. Anna walks north at a constant rate of \(75\) m/min and Cees walks south at a constant rate of \(90\) m/min. Biljana does not move.

After how many minutes of walking will the distance between Biljana and Cees be twice the distance between Anna and Biljana?