An Absurd Problem For You About A Fly Between Two Trains

Calculus Level 2

Two trains are approaching each other, each travelling at 20 mph, and they are 2 miles apart. A fly, which begins on the front surface of train A, begins flying back and forth between them in a zig-zag pattern, turning around as soon as it reaches one train or the other.

How far does the fly fly (in total miles) before it is squashed between the two trains if it flies at a constant speed of 60 mph?

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