BrainteasersAnts And A Cylinder
Two ants start at the same point at the base of a cylindrical can with height 8 and circumference 12 cm. Both ants walk at the same constant speed and take the shortest possible paths.
Ant A makes two complete laps around the base of the can
Ant B goes to the point at the top of the can opposite of the starting point, and then back to the starting point.
Which ant finishes first or do they finish at the same time?
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)
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