Two trains are on the same track a distance 100 km apart heading towards one another, each at a speed of 50 km/h. A fly starting out at the front of one train, flies towards the other at a speed of 75 km/h. Upon reaching the other train, the fly turns around and continues towards the first train. How many kilometers does the fly travel before getting squashed in the collision of the two trains?
In Ron Howard's 2001 film A Beautiful Mind, John Nash (played by Russell Crowe) can be overheard discussing this problem with a group of students in the library.
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