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I hope this one has not been posted already. As far as I know, it should be attributed originally to Martin Gardner.

This time, let us put a (point-like) ant on the edge (mathematically idealized) one meter long elastic band. The ant walks at a constant speed of 1 cm/s towards the other end of the elastic band. Every second, the elastic band is streched one meter longer.

Will the ant reach the other edge ?