Three particles \( A, B \) and \( C \) are situated at the vertices of an equilateral triangle \...

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Three particles \( A, B \) and \( C \) are situated at the vertices of an equilateral triangle \( A B C \) of side \( a \) at \( t=0 \). Each of the particles moves with constant speed \( v \). \( A \) always has its velocity along \( A B, B \) along \( B C \) and \( C \) along \( C A \). At what time will these particles meet each other.
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