Four persons 
and 
are initially at the corners of a square of side of length 
. If every person starts moving, such that 
is always headed towards 
towards 
is headed directly towards 
and 
towards 
, then the four persons will meet after
sec
sec
sec
sec
Text Solution
Verified by ExpertsA
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 (see fig.) and so they will finally meet at the centre of the square O .
The speed of each person along the line joining his initial position and O will be 
.
As each person has displacement 
to reach the centre, the four persons will meet at the centre of the square O after time.
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