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MathNet 2006 — Part 03 Question 48

Math Olympiad Vault · MathNet 2006 — Part 03

Question 48

Neighbors Elza, Sueli, Patrícia, Heloísa and Cláudia arrive from work together and start climbing the stairs of the 5-story building where they live. Each one lives on a different floor. Heloísa arrives on her floor after Elza, but before Cláudia. When Sueli arrives at her floor, Heloísa still has 2 floors to climb, and the same happens to Patrícia when Elza arrives at her floor. Sueli does not live on the $1^{\circ}$ floor. Which floor does each of them live on?