$\displaystyle L$ has its one end tied to a wall.

A bug peacefully rests at the outer end. Just when it seemed that everything was good, an evil-minded child starts pulling the outer end by a constant velocity $\displaystyle v$. The bug immediately realizes the danger, and simultaneously starts crawling towards the other end at a speed $\displaystyle u$ (relative to the band).

Will the bug ever reach the wall? If so, how long (in sec) would it take to reach it?

Answer $\displaystyle 0$ if you think that the bug will never reach the wall.

**Details and Assumptions:**

$\bullet$ $\displaystyle L = 15 \text{ cm}$

$\bullet$ $\displaystyle v = 3 \text{ cm/s}$

$\bullet$ $\displaystyle u = 1 \text{ cm/s}$