Subject: When waves collide, do both kinds of interference occur?

I understand the difference between constructive and destructive interference. 
But it seems to me that both must occur, one right after the other, when two 
waves collide. The only difference would be that when crest meets crest FIRST, 
or trough meets trough FIRST, constructive interference occurs first, followed 
immediately by destructive interference, and then again by constructive 
interference. In other words, when two waves collide, doesn't both constructive 
AND destructive interference occur? The only difference being which occurs 
first and last?

Re: When waves collide, do both kinds of interference occur?