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MathNet 2006 — Part 04 Question 140

Math Olympiad Vault · MathNet 2006 — Part 04

Question 140

A toy factory hired three painters to paint $2006$ cubic bricks. A painter needs $5$ minutes to paint a face of a brick. Each face has to be painted by just one of the painters. It is acceptable that different painters paint different faces of the same brick; however they cannot do it at the same time. Find the minimal amount of time needed for painters to complete their task.