There are four dogs/ants/people at four corners of a square
of unit distance. At the same instant all of them start
running with unit speed towards the person on their
clockwise direction and will always run towards that target.
How long does it take for them to meet and where?
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Answer Posted / venkat
Sorry I goofed up on the distance traveled in my above post
and also the formatting of the message. moderator, please
feel free to correct the format.
It looks like my estimate about the arc close to the diagonal
is wrong and the path is more spiral
Here is a link that I came across that gives the graphic simulation
of the spiral path for the problem at hand.
http://sohaib-khan.blogspot.com/2011/09/four-ants-at-corner-of-square.html
The distance travelled was mentioned in the same link as 1 unit
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