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Old 07-12-2010, 09:03 AM   #1
pdurrant
The Grand Mouse 高貴的老鼠
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Achilles and the Gods Puzzle

The gods have heard rumours* that Achilles might not be as fast at running as they thought, so they decide to set him a task.

He must run a race on a special 100m racetrack. The special thing about this racetrack is that every time Achilles has run 10m along the race track, the whole track instantly stretches, as if made of rubber, by 100m.

Now Achilles can run indefinitely as a constant 10m/s. He really is a fast runner — good endurance too.

Have the gods set Achilles an impossible task? Can he ever finish the race?

Please give a reason for your answer, and don't forget to put your answer in
Spoiler:
spoiler tags.




*something about Achilles not being able to catch up to a tortoise.

This puzzle is adapted from the puzzle at http://www.smart-kit.com/s3222/jack-the-beanstalk/
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