\(4\) 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?

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