<pre>
Let w <code> speed of bug and N </code> ratio of car speed/bug speed = 100.  Paint
N+1 equally spaced stripes on the rubberband.  When the bug is standing
on one stripe, the next stripe is moving away from him at a speed
slightly < w (relative to him).  Since he is walking at w, clearly the
bug can reach the next stripe.  But once he reaches that stripe, the
next one is only receeding at < w.  So he walks on down to the car, one
stripe at a time.

The bug starts gaining on the car when he is at the next to last
stripe.
</pre>
