Two trains 200 km from each other are moving at the speed of 50 km/hour to encounter. From one train a fly takes off, flying straight (upon the rails) to the other train at the speed of 75 km/hour, bounces away from it and flies back to the first train. This is repeated till the trains crash to each
other and the fly is smashed.
What distance is the fly able to fly until its judgement moment?

There is a complicated way counting a sequence. Or simply knowing that if the fly is
flying the 2 hours still at the same speed of 75 km/h then it flies a distance of 150 km.

Two trains 200 km from each other are moving at the speed of 50 km/hour to encounter. From one train a fly takes off, flying straight (upon the rails) to the other train at the speed of 75 km/hour, bounces away from it and flies back to the first train. This is repeated till the trains crash to each
other and the fly is smashed.
What distance is the fly able to fly until its judgement moment?

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