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A Fly: Two trains 200 km from each other...

Two trains 200 km from each other are moving at the speed of 50 km/hour towards each other. From one train a fly takes off (at the moment the trains are 200 km from each other), 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 into each other and the fly is smashed.
What distance is the fly able to fly until its death?

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Tags: fly trains speed km/hour fly flying rails bounces crash distance

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