Time required to meet in equilateral triangle
Given length of sides of equilateral triangle (s), and velocities(v) of each animal tagged on the vertices of triangle, find out the time after which they meet, if they start moving towards their right opposite, forming a trajectory.
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Input : s = 2, v = 5 Output : 0.266667 Input : s = 11, v = 556 Output : 0.013189
To find the total amount of time taken for the animals to meet, simply take A divided by the initial rate at which two vertices approach each other. Pick any two vertices, and it can be seen that the first point moves in the direction of the second at speed v, while the second moves in the direction of the first (just take the component along one of the triangle edges).
Reference : StackExchange