Two Trains Puzzle

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Two trains 100 kilometers apart head toward each other, each travelling at the same speed. A bumblebee zigzags from one to the other until they meet and it is squashed. How far does the bumblebee travel?
Contributed by: Jacqueline D. Wandzura and Stephen M. Wandzura (March 2011)
Based on a program by: Eric W. Weisstein
Open content licensed under CC BY-NC-SA
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"Two Trains Puzzle"
http://demonstrations.wolfram.com/TwoTrainsPuzzle/
Wolfram Demonstrations Project
Published: March 7 2011