That's a crazy gamble!

Three particles \( A \) , \( B \) and \( C \) are on the vertices of an equilateral triangle of side length \( 8 \ \text{ m} \). Each of them have a velocity of \( 5 \text{ m/s} \). They move in such a way that \(A \) tries to approach \( B \) , while \( B \) tries to approach \( C \) and \( C \) tries to approach \( A \). Find the time at which all of them will meet each other.

Give your answer to \( 4 \) decimal places.

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