Three points are located at the vertices of an equilateral triangle each of whose sides measure a. They all start simultaneously with speed v, each aiming at the next in order. How soon will the points converge ?

Explanation

To solve the problem of three points located at the vertices of an equilateral triangle, each moving with speed \( v \) and aiming at the next point, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have three points \( A \), \( B \), and \( C \) at the vertices of an equilateral triangle with side length \( a \).
- Each point moves towards the next point: \( A \) moves towards \( B \), \( B \) moves towards \( C \), and \( C \) moves towards \( A \).

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