Jumping in Puddles

Tue Sep 8

Tuesday Teaser #3

I have a stick that is one metre long. On that stick there are 10 randomly-placed ants, each of which starts to move towards one of the ends of the stick (at random) at the constant speed of 1 metre per minute. When two ants collide head-on, they both change direction immediately (i.e. they bounce off each other) and carry on at the same speed. When an ant reaches one of the ends of the stick, it drops off.

Can you find a time limit by which point all of the ants will have dropped off the stick?

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