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MathNet 2010 — Part 01 Question 188

Math Olympiad Vault · MathNet 2010 — Part 01

Question 188

Fifteen minutes more - two cars depart, at the same time, from a city $A$ towards a city $B$. One travels at constant speed of $60~\mathrm{km}/\mathrm{h}$ and the other at constant speed of $70~\mathrm{km}/\mathrm{h}$. If the fastest car travels from $A$ to $B$ at $15$ minutes less than the other car, what is the distance between these two cities?