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MathNet 2010 — Part 06 Question 74

Math Olympiad Vault · MathNet 2010 — Part 06

Question 74

Friends Miha and Blaž each rent their motorcycle from different providers for Sunday wanderings. Miha has to pay 100 euros at the beginning, but when the motorcycle returns, another 4 euros for each kilometer driven. Blaž initially pays 200 euros, and then 3 euros for each kilometer driven. At least how many kilometers do your friends have to travel so that Miha will pay more than Blaž?