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From: c160-3ay@ucbzooey.BERKELEY.EDU (Banquo's Ghost)
Newsgroups: net.puzzle
Subject: infinitesimal bees
Message-ID: <10852@ucbvax.BERKELEY.EDU>
Date: Thu, 31-Oct-85 03:03:43 EST
Article-I.D.: ucbvax.10852
Posted: Thu Oct 31 03:03:43 1985
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Reply-To: c160-3ay@ucbzooey.BERKELEY.EDU (Banquo's Ghost)
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Subject: infinitesimal bees
Newsgroups: net.puzzle

Here's one from a highschool physics class:

At time 0, two cars are 5 miles apart, headed directly towards each
other, each moving at 20 miles per hour.  (The speed remains constant
throughout the problem.)

At time 0, a fast bee flies from one car towards the other.  As soon
as it reaches the other car, it turns around in infinitesimal time
and heads back towards the first car.  And so on.  This bee flies at
30 miles per hour.

How far does the bee travel before being demolished in the eventual
collision?

...Ranjit