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Tiger - Man (Posted on 2003-10-29) Difficulty: 4 of 5
A man is standing on a rock in the middle of a circular lake of radius 1. There is a tiger on the shore of the lake that can run four times as fast you can swim, however the tiger can not swim. The tiger is hungry and always attempts to keep the distance between the two of you at a minimum.

How can you safely swim to shore?

  Submitted by Ravi Raja    
Rating: 4.0000 (8 votes)
Solution: (Hide)
Until you are more than 1/4 of the radius away from the rock you can swim fast enough so that you can stay 180 degrees away from the tiger. Regardless of which direction the tiger moves around the circle you swim the other way, always keeping 180 degrees away, and moving outward with leftover energy. Before long you will be 1/4 of the radius away from the center and the tiger will be 180 degrees away. At this point swim straight to the point on the shore furthest from the tiger. You will be able to get there in 3/4 units of time, while it will take the tiger pi/4 =~ 0.7854 units of time.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Calculus angleSandeep2003-11-03 11:54:17
Calculus angleSandeep2003-11-03 11:53:42
Support and denial.Choop2003-11-03 01:49:36
Be Kind TigerBruno Pelletier2003-10-30 22:20:17
re: A Suggested SolutionSilverKnight2003-10-30 21:18:25
SolutionA Suggested SolutionJoseph ODonnell2003-10-30 20:31:49
re(2): Specifically...Brian Smith2003-10-30 12:09:48
Minimum SwimLorne Hrynkiw2003-10-30 05:09:56
re: Specifically...Tristan2003-10-29 19:44:34
solvedjim2003-10-29 16:37:03
Some Thoughtsre: Specifically...SilverKnight2003-10-29 16:20:36
SolutionSpecifically...Charlie2003-10-29 16:09:12
Heres a thoughtAlan2003-10-29 16:08:45
Some Thoughtsfirst thoughtSilverKnight2003-10-29 15:56:41
Questionumm...SilverKnight2003-10-29 15:48:59
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