Mr. Narla bought a new TV set with the dimensions as shown below. He also bought a new DVD player. After connecting the DVD player to the TV and switching both of them ON, he noticed that a small icon that read DVD started moving across the screen starting from the top left corner (point A in the figure). The icon starts at an angle of 30° as shown and moves at a speed of 5 inches/sec. It symmetrically bounces off every surface it encounters as shown in the figure. Mr. Narla wants to find out if the icon will come back to point A and if so, how much distance must it have traveled to come back to A for the first time. Also, he wants to get this answer before the icon reaches point A (if it does). What will his answers be and in how much time should he solve this question?