Go the Distance with Careetone

Algebra Level 4

Suppose that the tires on the rear of your brand new Careetone will wear out after \(33600\) kilometers, whereas tires on the front will wear out after \(46400\) kilometers. Also, suppose that five identical tires, including the spare, come with the car. If you can easily change the tires whenever you want, what is the maximum distance that you can drive with your Careetone?

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