One of my friend asked me following puzzle.. I am thinking over it for quite a long time but not being able to find a way out.. Please somebody help me.. The puzzle is as follows: In the old story of Rabit( R) and Tortoise (T), I say that Rabit will never meet Tortoise if Rabit starts the race after Tortoise. It doesnt matter how fast Rabit runs. He just can't meet Tortoise. Here is my argument: Lets say T starts some seconds earlier than R with his very slow speed and R starts to follow T with his extremely fast speed. After certain time "t", R reaches the place where T was. But in that time, T will cover some extra distance. Again R will reach that new position after some small time "t1" but again T will have travelled some additional distance in that period. Again R will run to cover the extra distance but T will cover some more distance in that time.. it keeps on going.. R will always be busy to cover the extra distance that T has already covered. Hence R can never meet T becase by the time R reaches the point where T was, T will have covered some additional distance. Please somebody tell me where is the flaw in his argument. Its killing me.