Three particles A, B and C are situated at the vertices of an equilateral triangle ABC of side d at time `t=0.` Each of the particles moves with constant speed v. A always has its velocity along AB, B along BC and C along CA. At what time will the particles meet each other?

Explanation

To solve the problem of when the three particles A, B, and C will meet, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Motion of Particles**:
- Particles A, B, and C are located at the vertices of an equilateral triangle ABC with side length \(d\) at time \(t=0\).
- Each particle moves with a constant speed \(v\):
- Particle A moves towards B along line AB.
...