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MathNet 2026 — Part 09 Question 41

Math Olympiad Vault · MathNet 2026 — Part 09

Question 41

Aerith and Bob are playing tag at Lake Round, a perfectly circular lake. Aerith tags Bob right next to the lake and dives in. Aerith can swim at a speed of $2 \mathrm{mph}$, while Bob can't swim but runs at a speed of $9 \mathrm{mph}$. Can Aerith leave the lake without getting tagged?