28 May 2013

A Lonely Ant: Lower Secondary Mathematics Competition Question


An ant has been cast adrift from its colony and is obsessively pacing up and down a centimetre ruler. It walks from the 0 cm to the 10 cm mark on the ruler, then back again, at a constant speed of 1 cm/s. It also takes 1 second to turn around at each end. It repeats this pacing motion without rest.

At what number on the centimetre ruler will the ant be after precisely 30 minutes?






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