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dig together the garden bed (IV Soros Olympiad 1997-98 R2 11.1)

Source:

June 1, 2024
algebra

Problem Statement

Petya digs the garden bed alone for aa minutes longer than he does with Vasya. Vasya digs up the same bed for bb minutes longer than he would have done with Petya. How many minutes does it take Vasya and Petya to dig up the same bed together? orthogonal).