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MathNet 2007-part-01 — 187 problems (EN–VI) Question 56

Math Olympiad Vault · MathNet 2007-part-01 — 187 problems (EN–VI)

Question 56

To school by bicycle. Cátia leaves school every day at the same time and rides home by bicycle. When she pedals at $20~\mathrm{km}/\mathrm{h}$, she arrives home at $4:30$ in the afternoon. If she pedals at $10~\mathrm{km}/\mathrm{h}$, she arrives home at $5:15$ in the afternoon. At what speed should she pedal to arrive home at $17:00$?