A spider is chasing an ant.
The spider is crawling counterclockwise at a
speed of 701 cm/min on the circumference of a circle with a diameter of 100
cm. The ant is crawling at a speed of
700 cm/min, also counterclockwise, on
a semicircle consisting of the upper
half of the spider’s circle plus a horizontal diameter.
At the start of the chase, the ant is at the left end of the diameter
and about to crawl along it, and the
spider is at the other end of the diameter and ready to start crawling along the circumference of the circle (to
which it is restricted). They commence crawling
at the same instant.
How many complete circuits of the circle must the
spider make before it catches the ant?
Idealize the problem by treating the
spider and the ant as points.
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