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KöMaL 2026 K886

    A tire of a car wears out if it runs 20,000 km when placed on the front wheel, or 30,000 km when placed on the rear wheel. a) We have 4 fresh tires. What is the maximum number of kilometres we can travel if we can switch the tires between the front and the rear wheels? After how many kilometres should we switch tires between the front and the rear wheels to achieve the maximum distance? b) We have 5 fresh tires. What is the maximum number of kilometres we can travel if we can switch the tires between the front and the rear wheels? How should we swap tires between the wheels to achieve the maximum distance?

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