olymmath

Putnam 1938 A6

  • Session A
  1. A swimmer stands at one corner of a square swimming pool and wishes to reach the diagonally opposite corner. If ww is his walking speed and ss is his swimming speed (s<w)(s<w), find his path for shortest time. [Consider two cases: (i) w/s<2w / s<\sqrt{2}, and (ii) w/s>2w / s>\sqrt{2}.]

Dataset text PutnamGAP. Quoted with source.

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