Infinitely stretchable elastic band

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The discussion revolves around a physics brain teaser involving an infinitely stretchable elastic band attached to a wall and a horse, with a snail positioned near the wall. The initial length of the band is denoted as L, and the horse and snail move at constant speeds v and u, respectively, where v > u. The key question is determining the time it takes for the snail to reach the horse, emphasizing the composition of movements between the snail and the elastic band. This problem has been previously referenced in a similar mathematical context on Physics Forums.

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

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