Ants on a tetrahedron

\(4\) ants are arranged in such a way that they make up vertex of a regular tetrahedron, of side length \(1m\). The ants are named Calvin , Peter , David and Aron. Each ant moves at a speed \(v=1m/s\), and moves in such a way that:

Calvin moves toward Peter,
Peter moves toward David,
David moves toward Arron,
Arron moves toward Calvin

If they continue to moves it this direction they will converge somewhere. What time in seconds will it take the ants to meet each other?

This is a variation of a past brilliant problem, by David M.
The ants are free to roam around in 3-d space.
What generalization could you make from this?


Problem Loading...

Note Loading...

Set Loading...