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MathNet 2026 — Part 01 Question 179

Math Olympiad Vault · MathNet 2026 — Part 01

Question 179

Fountain with 3 faucets - Sílvia goes to a fountain that has three faucets, filling her ten bottles. One of the bottles takes a minute to fill, another two minutes, another three minutes and so on. How should Sílvia distribute the bottles through the faucets in order to spend as little time as possible? what is this time?