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Achilles and the Gods Puzzle
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07-15-2010, 02:42 AM
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HarryT
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Quote:
Originally Posted by
omk3
Spoiler
:
I found in excel (by brute force) that it will take him 12367 seconds to finish the track! The logical reason for this is, I think, that the position of the runner is increased by the same percentage as the track, *plus* 10 meters. So he is slowly but surely moving forward.
Spoiler
:
OK, but suppose the track was increasing in length by 1km every 10m. Would he still finish? Can you show that he'll finish no matter
what
the length increase is?
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