This achievement should take you the most actual play time. You can use the method to move your clock forward to skip the waiting to start and to return. Or if you want to do it all as it's intended prepare to spend a lot of time waiting.
Get you Overseer's Office up to lvl 3 so you can have 3 quests going at once.
Requirements: Space for 2 rooms.
lvl 1 1000 Caps and 18 Dwellers
lvl 2 3500 Caps and 30 Dwellers
lvl 3 15000 Caps and 55 Dwellers
I would also recommend train up all the SPECIAL stats on 3 dwellers or even 9 once you get a bigger vault going. Then trow them out in to the wasteland to level them up. This will take between 2-3 trips off multiple days to reach lvl 50. But this will allow you to plow trough quests like it's nothing. Give them your best weapons, take a few stim packs and rad aways just in case and you should have never trouble finishing a quest or taking a long time.
Then for the quests them self.
If you're are all ready done with:
You can cut down a lot of encounters buy skipping obvious side rooms.
If you have played a couple already you may have noticed that the dwellers tell you if you go in the right direction. Take this with a grain off salt since they are not always right.
I also found that a lot of the time the main objective is on a specific floor in relation to the type off building. I'll try and explain some of them. Keep in mind that sometimes this my not be the case and you end up doing the whole building anyway. But most of the times that I used my guide lines I skipped a lot off rooms.
Vaults
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Vaults usually follow a straight line and not many times have side rooms or options to go down multiple levels.
Also even if that is a option more often than not it's still on the 2 second floor down. If not then it's either on the all the way down or the floor above.
The reason that I didn't go to the third floor in this vault was because of the 2 floors going in the same detection. If you see this you can just go to the last or second last floor. I only have had 1 instance where it was on the 3th floor.
Even when you get multiple objectives you will encounter almost all of them in these spots.
Long Office Buildings
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Or even longer ones
These usually a very straight forward. Since you normally don't get a elevator that goes up more than one floor. If you get one where you can go up multiple floor go as high as you can. Since these always have the end objective on the top floor or the one underneath, witch you always pass trough to get to the top floor. Examples.
High Office Buildings
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So these ones can have 4 floors up to 6 floors. They can have basements, but they most important thing to remember is that the objective is always in the part with the most floors. As you can see down here, where I thought it would be on the top floor as always.
Here the end objective can be on the last floor, second last floor or the third floor. Usually it's on the top floors, though so if you have a quick route that you can take there that's worth it more often than not. Here are some of the quick completions I have done on these types off buildings.
For all of these I have notice that the higher quests lvls the objective is always far away. With maybe a few exceptions. But then you normally don't get multiple floors and you just walk in to it earlier then you expected. The lower lvls you sometimes go fast to the top to find the objective on the 3 floor. But that is just my experience.
Save your critical hit for hard enemies and bosses. This way you don't have to deal with reinforcements witch should save you some time and make these encounters a walk in the park. Examples for hard enemies Deathclaws,Radscopions and sometimes Raiders.
Bosses have a red Skull next to there health bar. They can be 3x times as strong so kill them quickly since they can do massive damage and even insta kill your lvl 50 max SPECIAL dwellers if you don't look out.
The final objective is 98/100 in a 2 or 3 sized room. The only two where the final objective was in a 1 sized room. There could be more, maybe but this is the only two I have encountered out of the 100 I have done. And there both related to this series of quests. I have noted them down below.
The search for Jobinson’s Jersey 8/15
Getcha’ Peanuts Here
The search for Jobinson’s Jersey 10/15
There’s No Crying in Baseball
So if you're browsing in a elevator it's worth it to just go in a big room instead off a 1 sized room.
So I hope that this will help somebody and if you have experienced something that I haven't mentioned let me know and I'll add it in.
Happy Hunting