I just tamed my first one earlier today that was right by my base and it took less then a minute (Thank the Dino gods) In summary for people who want a quick taming though:
1. Get it on low health so it’s food goes down, probably make some dangerous Dino chase you and accidentally hit it and fight it (Mine fought something before I hit it with a bunch of tranq arrows so it only took about a minute or two to tame)
2. Get as many arrows as you need plus some extra just in case and start shooting it! (I died doing this but as I said it was next to my base so no problem)
3. You’ll want to put as many berries in as possible, you should probably stock up before you tame it (Good thing about having Parasaurs and trikes before hand is they can get heap of berries quickly)
4. Just wait and bam you got your self a nice bro to ready to defend your base!