That's a crazy gamble!

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

Give your answer to 4 4 decimal places.


The answer is 1.06667.

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