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Two steam locomotives are approaching each other, each at 30 mi/hr, heading for a sure head-on collision. A rhinoceros beetle, who flies with a constant speed of 35 mi/hr, leaves the front of the first locomotive when the engines are just 2.000 miles apart, and flies to the front of the second engine. It immediately turns around and flies back to the first engine which is now a little closer. It then flies back to the second, then to the first, and so on, until the trains finally crash. What total distance does the rhinoceros beetle fly before ultimately being smushed between the two train engines?

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