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Answer: 24000 km


Of the $5$ tyres, $4$ are used at any one time, so each tyre is used for $\frac{4}{5}$ of the journey, or $$\frac{4}{5} \times 30000 \; \text{km} = 24000 \; \text{km}$$
This problem is taken from the UKMT Mathematical Challenges.
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