That conversation happens, but the bigger problem is I fish slowly & methodically, especially on small water where fish can be tucked in every nook & cranny.
The friend on the other hand keys in on particular type of water he feels will be productive like smooth glides and deeper holes. As a result he'll skip over whole stretches of water I would have fished and even if miles separates us when we start, I spend the whole day looking over my shoulder because I know sooner or later. he'll catch up to me...
And things don't work out much better I give him the upper beat because he can fall in love with a particular stretch and I end up catching up to him by dusk.
So the method you guys use is for one guy to start fishing up the stream, and the other guys waits a little while, then follows up behind him, fishing the same water? How long does the second guy wait before starting to fish?
I have fished with people accustomed to fishing that way. I don't like that method. I don't want to fish up behind someone, fishing water that they already fished. I think that greatly decreases your fishing results. And I don't like putting the other guy in the situation of having to fish behind me.
There are several other methods of stream sharing. There is hopscotching, and the handkerchief method, which is basically hopscotching, but you actually mark where you went in. I think these methods are too hectic, and add a great deal to the distance walked. To really avoid spooking the fish, you really need to go way up around. If you are walking near the stream, you are spooking fish. And sometimes thick brush makes it difficult to go up and around.
And there is just fishing different stretches of the stream. Park the car and arrange a time to meet back there. One guy fishes upstream. The other guy walks downstream then fishes back up to the car.
My favorite way is to stay together and take turns fishing. While one guy is fishing, the other guy is not. You work out when to switch turns. Usually you switch after a guy catches a fish, or after he fishes a nice pool. If someone needs to change a fly and/or leader, he steps out of the stream to do that, and the other guy fishes.
It might seem difficult to be only fishing half the time, but while the other guy is fishing you can change your fly, dry your fly, adjust your tippet, have something to eat or drink, take photos, take a water temperature, flip rocks and look at bugs, etc. All things people typically do anyway.
One guy is fishing all the time. When he finishes his stint, he steps out of the creek, and says "You're up" or "Go get 'em" and the other guy steps into the creek and starts fishing. That way you're not really giving up much fishing time.