Two cities X and Y lie on a straight line

[BTGmoderatorDC]

Two cities X and Y lie on a straight line. Two men P and Q left simultaneously for Y and X from X and Y respectively. P reaches Y and immediately turns around and moves towards X. On reaching X, again he turns around and moves towards Y. This kind of movement continues indefinitely. Q also travels in a similar manner. The distance between X and Y is 1000m and the ratio of the speeds of P and Q is 3:2. Find the distance traveled by P when he meets Q for the fourth time.

A) 4000M
B) 5600M
C) 4800M
D) 4200M
E) 3200M

How will i solve this problem? Can some experts help?

OA D