Puzzle answer

Say a line is painted across the center of  the rubber strip dividing the length of the strip in half. That line would travel at half the speed of the car. Say 10 lines are painted across the rubber strip dividing its length into 11 equal sections. The line closests to the tree will travel away from the tree at 1/11 the speed of the car. Since the bug is traveling at 1/10 the speed of the car, it is traveling slightly faster than that first line(since 1/10 is bigger than 1/11). So the bug will reach the first line. When the first line is reached the next line will also be traveling away from the bug at the same speed as the first line had been(since the rubber strip stretches evenly). The bug will reach the second line and all the others one after another until it reaches the car.

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