Infinitely stretchable elastic band

[orlan2r]

Imagine an infinitely stretchable elastic band where one end is attached to a vertical wall and the other on a horse, as shown in figure. On the elastic band, very close to the wall, there is a snail. If we assume that the initial length of the band is L, and the horse and snail start moving with constant rapideces v y u (v > u), respectively, how long time the snail reached the horse?

 

[berkeman]

Is this a brain teaser or for schoolwork? It doesn't really fit in the Classical Physics forum.

 

[AlephZero]

There was a recent thread about the same brain teaser.
https://www.physicsforums.com/showthread.php?t=723340

 

[orlan2r]

The problem referred by AlephZero is simliar but is purely mathematical.
I propuse a physics brain teaser.
In this case we can say the snail's movement respect to the Earth result of composition of movements: their own movement respect of the elastic band and the movement of the point of the elastic band on which is located