\textbf{167-} The contact point of a rolling sphere on a flat mirror is at rest. We observe that the maximum possible displacement for the image in a 40 cm mirror is. If a body is placed in front of this mirror at a distance of 120 cm from the mirror, how many centimeters will the image be?
\hfill $180$ (1) \hfill $150$ (2) \hfill $90$ (3) \hfill $40$ (4) \hfill