Thread: Achilles and the Gods Puzzle
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Old 07-15-2010, 02:42 AM   #23
HarryT
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Quote:
Originally Posted by omk3 View Post
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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