A fly's short life

Two trains are going to crash straight onto one another. They start from a distance between them of 260 km. Train A is running with 50 km/h. Train B is running with 80 km/h. A naive fly, starts flying from the start point of Train A, and keeps flying in between the two trains, going back and forth between the two trains as the distance grows smaller. The fly flies with 100 km/h... before it is crashed by the two trains crashing onto each other. By the time she dies, how many kilometers will she have travelled?

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