Point $A$ is at $(0,16)$ and moving down at $4$ units$/$sec$.$ Point $B$ is at $(-3,0)$ and moving right at $2$ units$/$sec$.$ At which two times are the two points separating at the same rate?

I. $t=3$

II$.t=4$

III. $t=5$

A$.$ I and II

B$.$ I and III

C$.$ II and III

D$.$ No points