Math CentralQuandaries & Queries


Question from Peter, a student:

A car is driven 40,000 miles using four tires and a spare tire. The tires are rotated so that each tire travels the same number of miles. What is the number of miles traveled by each tire?

Hi Peter,

For each of the 40,000 miles of travel there were 4 tires on the road and hence there was 4 × 40,000 = 160,000 miles of tire wear. But this tire wear was spread evenly over 5 tires. How much wear is that on each tire?


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