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IMC 2023 Grade 5 — ROUND 1 Question 12

IMC · IMC 2023 Grade 5 — ROUND 1

Question 12

On Monday, a chicken walked from home to school at $\frac23$ m/s and he was 6 minutes late. On Tuesday, a dog chased after him, so he increased the speed to 1 m/s. As a result, he came to school 10 minutes in advance. How far is school from home?

Editorial modeling convention: both trips start at the same time, have the same required arrival time, and use the stated speed throughout.