Pathfinder part one, Reputation

[Thirdbarrel-wildhammer]

I started playing again little bit less than two weeks ago after break.

Do I have enough time to finish Part one of Pathfinder achievement before patch 8.2 release?
I have Tortollan Seekers @ 3572/12000 and Champions of Azeroth @ 2762/12000
Other required are Revered.
If there are currently 6 factions you can get emissary so that makes it 1/6 chance for emissary to pop up daily if I get it right? 30/6=5 Emissary per faction per month(around 30 days in month)

Emissary gives 1500 reputation to that faction.

Tortollan Seekers 12000-3572/1500=5,618666666666667 (6 emissary)

Champions of Azeroth 12000-2762/1500=6,158666666666667 (7 emissary)

I would get my pathfinder 1 by following

Tortollan Seekers 30/5*6=36 days doing all emissary

Champions of Azeroth 30/5*7=42 days doing all emissary

Correct me if I am wrong.

Edit.

After doing few WQs, new reputations are below
Tortollan Seekers 12000-4347/1500=5,102 (6 emissary)

Champions of Azeroth 12000-4287/1500=5,142 (6 emissary)

Ideal situation would be to do few WQs tomorrow so I would reach both reputations at 4500 because doing 5 emissary will grant 5*1500=7500 reputation so that makes 12000-4500/1500=5 emissary (12000-7500=4500).

5 emissary=30days

[Nurmat-draenor]

Buy contract for Turtles or Champions, 10 extra reputation per world quest

[Tizaksul]

Doing those factions World Quests when they are up and Emissary quests when available.
Using one of the Contracts for Tortollan or Champions then doing any world quests will net you a little extra as well.
World Quest Bonus Event will be back in June that will give a nice bump in the rep you get from those too if you haven’t managed to get it all done by then.

One thing I will mention, you really aren’t in such a rush to get Part 1 done before Rise of Azshara, you can always finish of the bits you need during 8.2 as well while working on Part 2

[Brodanyo-burning-legion (Brodanyo)]

Spam island expeditions - they have chance to drop extra reputation tokens. That’s how my friend farmed Zandalari reputation to get Zandalari trolls. He farmed few thousands reputation in few days.