It was a dark and stormy night. The locomotive left Chicago heading toward Columbus. It was 9PM. The train crept along through a dense, chilling fog...at 30 miles per hour. A second locomotive left Columbus heading toward Chicago at 9PM, also traveling 30 miles per hour - and on the same track! The distance between Chicago and Columbus is 350 miles. *The plot thickens!* At the moment the train left Chicago, a bumblebee sitting on its engine's windshield flew toward the Columbus train at 40 miles per hour. When it reached the Columbus train, it instantaneously headed back toward the Chicago train (still at 40 miles per hour) - and repeated the process until the trains collided. Question 1: What was the last thing that went through the bee's mind before it got squished? Question 2: How far did the bee travel?
Figure 1: The Bumblebee Problem
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