Imagine a (16 X 16 inch) square, with two concentric squares (8 X 8
inch) and (4 X 4 inch) within it with different temperature zones in
each. The temperature is directly proportional to the perimeter of the
squares. The outermost square is the hottest, and temperature
decreases towards the centre. Let us name the outermost square as ABCD.
4 bugs start from its 4 corners and starts moving towards the bug in
front of it at the shortest distance apart with an initial speed 1 inch
per minute. The speeds of the bugs are directly proportional to the
temperature zones. When will they meet? At what distance from A will
they meet each other?