Solving a Simple Kinematics Problem: When Will Three Turtles Collide?

[Leotav]

Homework Statement

So the problem says that three turtles starts to move each from a vertice of a equilateral triangle with a constant velocity v as shown in the pic. They move towards each other ( the first one moves towards the second the second towars the third and so on ). It asks: When they are going to collide?

http://img337.imageshack.us/img337/1038/77228846fl6.jpg"

Homework Equations

none

The Attempt at a Solution

all my tries were unsuccessful that's why I am asking for help ;p

tips are welcome
thanks in advance

 

[dst]

Never. I don't see why they should.

 

[Leotav]

I forgot to mention that they're not going stay moving only on the triangle path, sorry.

 

[Shooting Star]

Calculate the change of area A of the triangle as a function of time, and then solve for t when A=0.

If each has moved dx in time dt with speed v, what's dA/dt?