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Quantum CyberTeaser: July/August 1999


B268

Frequent flyer. Two cyclists, Kaitlin and Josh, simultaneously started toward each other from two towns 40 km apart. Josh rode at 23 km/h, and Kaitlin rode at 17 km/h. Before departure, a fly landed on Josh's nose. At the moment of departure, it started to fly toward Kaitlin at 40 km/h. When it reached Kaitlin, it immediately turned back and flew in the opposite direction at 30 km/h (the wind blew toward Kaitlin). As soon as the fly reached Josh, it turned back again, and so on. Find the total distance flown by the fly until the cyclists met (the speed of the fly was constant in each direction).

Solution

fly.gif (44540 bytes)

The winners:

  • Bruno Konder (Rio de Janeiro, Brazil)
  • Christopher Franck (Redondo Beach, California)
  • Theo Koupelis (Wausau, Wisconsin)
  • Jerold Lewandowski (Troy, New York)
  • Rafael Shusterovich (Rishon-le-Zion, Israel)
  • Vincze Zsombor (Szeged, Hungary)
  • Sergio Moya (Culiacan, Mexico)
  • Anastasia Nikitina (Pasadena, California)
  • Melamed David (Kiryat Tiv'on, Israel)
  • T. Scott Frick (Dallas, Pennsylvania)

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