Two cars leave their respective cities at exactly the same time. The cities are connected by a 900 km highway that runs straight between the two towns. The first car, say car A, is traveling at 80 km/hr. The second car, car B, is traveling at 70 km/hr. At precisely the time of departure a superfly leaves the front bumper of car A and begins flying towards car B. The fly is traveling at 100 km/hr. When the fly arrives at the bumper of car B it instantaneously turns around and flys back to car A. This pattern repeats itself until the two cars meet and our superfly is splattered between the bumpers of car A and car B.
How many kilometers has the fly flown before his untimely demise?
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