A problem by Digi Verse

Level pending

A Classic math problem, with a few tweaks to the numbers: Two trains are running towards each other, one at 46 mph and the other at 34 mph. When they are 280 miles apart when one of the trains release a mad bee, which travels at 68 mph. The bee will travel go to the other train, then back, over and over again until the trains magically stop right before collision. What distance will the mad bee have traveled before the trains meet?

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