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MathNet 2006 — Part 03 Question 26

Math Olympiad Vault · MathNet 2006 — Part 03

Question 26

A bus, a train and a plane leave at the same time from the city $A$ to the city $B$. If I take the bus whose average speed is $100~\mathrm{km}/\mathrm{h}$, I will arrive at $B$ city at 8 pm. If I take the train, whose average speed is $300~\mathrm{km}/\mathrm{h}$, I will arrive at the city $B$ at 2 pm. What will be the plane's arrival time if its average speed is $900~\mathrm{km}/\mathrm{h}$?