Thread: Achilles and the Gods Puzzle
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Old 07-12-2010, 11:12 AM   #5
pdurrant
The Grand Mouse 高貴的老鼠
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Quote:
Originally Posted by obs20 View Post
Spoiler:
If the track is a straight line then he will gain 10 for every second and lose 50. If at the end of the first second he has run 10m the gods have stretched the 50m track ahead of him and 50m behind him. Thus after 1 second he has 140 meters to go and 55 meters behind him. After 2 seconds he will have 180 ahead of him.
I'm still working on the calculations.
Spoiler:
I disagree with your assumption that the stretching of the track occurs equally in front and behind Achilles. Take a rubber band. Tie a piece of string around it, 1/10 of the way along. Stretch the band to twice the original length. How far along the band is the piece of string?
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