Algebra · Uniform motion · Relative speed · Ratio and proportion · Circular track
Andrej and Blaz drew a circle in the yard and marked two diametrically opposite points on it. Each of them stood on one of these points, and at the same instant they started walking around the circle in opposite directions, each at his own constant speed. By the time they met for the first time, Andrej had walked \(60\) m. Between that first meeting and the moment they met for the second time, Blaz walked \(90\) m. How long is the circle they drew?
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2006, 1. letnik, category A, problem 5. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source