Four persons 
are initially at the four corners of a square of side d. Each person
now moves with a uniform speed v in such a way that K always moves directly towards L, L directly towards M, M directly towards N and N directly towards K. The four persons will meet at a time
Text Solution
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It is obvious from considerations of symmetry that at any moment of time all of the persons
will be at the corners of square whose side gradually decreases and so they will finally meet at the center of the square O.
The speed of each person along the line joining his initial position and O will be 
to reach the centre. The distance covered by each person is 
The four persons will meet at the centre of the square O after time
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