Puzzle Details

I recently travelled from my home town to a distant music concert, on a pedal tricycle of all things! My wonderful, three wheeled tricycle.

I knew that the epic 2,345 mile trip would wreak havoc on the tyres, but luckily I took along 4 spares!

Instead of waiting for any single tyre to fail, I decided that I would rotate the tyres evenly, making sure that by the end of the trip all seven tyres had travelled exactly the same distance.

What was the distance that each tyre travelled?

A total of 2,345 miles were travelled and at any one time, three tyres were on the tricycle.

Therefore 3 x 2,345 = 7,035 tyre miles were travelled, which was shared equally by the 7 tyres.

And 7,035 ÷7 = 1,005.

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