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.
