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MathNet 2026 — Part 02 Question 123

Math Olympiad Vault · MathNet 2026 — Part 02

Question 123

Maria is planning to participate in the Triatlon-Brasil that is included in the $800~\mathrm{m}$ of swimming, followed by the $20~\mathrm{km}$ by bicycle and, finally, $4~\mathrm{km}$ of racing. Maria runs at a constant speed that is triple the speed at which nothing and pedals 2.5 times faster than she runs. To finish the race in a maximum of 1 hour and 20 minutes, what should be your minimum speed in each of the three modalities?