Quote:
Valandil said:
Ooh! Since this way off topic anyway--
The tortoise starts with a lead of a foot.
After a given period of time, the hare, traveling faster than the tortoise, will have made up this lead. But the turtle will have moved forwards, creating a new gap, which must be filled in a given time, after which the tortoise again has move, ad nauseum.
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Actually, that only works only up to a certain point. You see, you are measuring ever shorter and shorter and shorter amounts of time, and thus, won't actually cover more time of the hare's run than what is needed for the first few leaps. You aren't thinking of what happens once the hare gets to where the tortoise already is, and it will get there - that point is the first one you are ignoring with your time-trick!