A Fly Caught Between Two Trains

Algebra Level 2

Two trains, 200 km apart, are moving toward each other at the speed of 50 km/hour each. A fly takes off from the front of one train flying straight toward the other at the amazing speed of 75 km/hour. Once it reaches the other train, the fly bounces off it and flies back to the first train again at 75 km/hour. The fly repeats the trip until the trains collide and the bug is squashed.

What distance has the fly traveled until its death?

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