The Ant problem


An ant is at a fixed end 'P' of a 1 meter-long rubber band.
Just as the ant starts walking along the rubber band at a constant 1 cm/sec,
the other end 'Q' is pulled away from 'P' at a steady speed of 100 cm/sec.

Assume a uniformly stretching, infinitely elastic rubber band is used in this puzzle.

Will the ant ever reach 'Q', and if yes, when?

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