You can easily complete most of the strikes in 10 to 15 minutes if you rush. Also, I never said that you can do every strike in 10 minutes. I said "if I can do a half hour strike in 10 minutes, you can bet your ass that I'm doing to do it." Which means that if it's possible, I'm going to do it. I'm not going to dick around and kill 20+ fodder enemies that really don't do anything but consume my time. I do strikes as fast as I possibly can. I don't care if you want to fight the other enemies. Go ahead. It doesn't really bother me that you want legendary engrams or rare engrams. I want reputation and marks. Also, while you can surely increase the chances of acquiring legendary engrams by killing everything you see, you can just as likely get 10 kills in the entire strike and get a legendary. Hell, I once saw a guy play a strike and get 20 kills and he found a legendary engram. I got around 150 kills. A guy could get 1 kill and still get a legendary engram, even though you didn't get one after killing everything else. So, no. I will not waste my time killing fodder.

You can do nexus in 10 min

This.