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MathNet 2026 — Part 02 Question 69

Math Olympiad Vault · MathNet 2026 — Part 02

Question 69

Maria is planning to participate in the Triatlon-Brasil that starts at 24:00 on Sunday and consists of $800~\mathrm{m}$ by swimming, followed by $20~\mathrm{km}$ by bicycle and finally $4~\mathrm{km}$ of racing. Maria runs at a constant speed and is triple the speed that swims, and pedals 2.5 times faster than she runs. To finish the test in a maximum of 1 hour and 20 minutes, how much time should she spend on each of the 3 stages?