**Problem:**

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**.

**Question:**

How many kilometers has the fly flown before his untimely demise?

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