Test Preparation on CAT paper 6

1.

Consider 4 (dimensionless) flies, 2 males and 2 females. They are situated at the four corners of a
square of side 10 meters, the two males at diagonally opposite ends. At any time, each fly tries to
reach the male/female fly in front of her/him using the shortest possible route. Since the flies are
flying towards another, they will meet each other at a certain time at the center of the square. What
is the length of the path that each has traveled at the moment they reach each other?

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