Problem
of the
Week

PROBLEM 73



The following problem was suggested by Aaron Kahn.  Many thanks!

A monster prowls around the perimeter of a perfectly circular pond.  You are sitting on a raft in the middle of the pond.  The monster can move four times the speed at which you can swim, but if you can reach the shore in front of the monster, you can out run him (because, of course, monsters cannot see people who are standing on dry ground).  Can you escape from your watery prison, and, if so, how?


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