They Went That-a-Way

 is a quest in Fallout: New Vegas. It is also an Achievement on the Xbox 360 and PC; and a Silver Trophy on the PlayStation 3.

Quick walkthrough
Well, now you're ready to mosey on out of Goodsprings and find that guy in the checkered suit. Get looking!

Detailed walkthrough

 * Find the men who tried to kill you. (This is the overall objective in this quest, so finish the other objectives first)

Primm

 * Go to Primm, a bit south-east down the road from Goodsprings Source.
 * When you arrive, you'll be stopped by an NCR trooper, who tells you Primm is off limits, and to stay on the west side of the overpass if you don't want to get shot. The east side of Primm (the side where you can see the roller coaster) has been overtaken by Powder gangers.
 * If you ask the NCR for help, they'll just say it's not under their jurisdiction, and even if it was, they're desperately low on supplies and extra hands.
 * Go into Primm and kill everyone who is outside (about six powder gangers).
 * Enter Vikki and Vance Casino and talk to Johnson Nash about finding the man that shot you.

Nipton

 * Skipping past My Kind of Town, head to Nipton (down the road south, then east).
 * You'll find only two people, the rest have been killed, tortured and crucified by Caesar's Legion.
 * Go into the store on the left to find the second survivor, Boxcars, who tells you that they took a few hostages, and that you need to go to Novac.

Novac

 * At Novac, ask around and find Manny Vargas (located in the T-rex during the daytime).
 * Go through the Dino-Bite Gift Shop and talk to Manny:
 * He will make you clear out a building to the west before he tells you anything (unless you have the Confirmed Bachelor perk). This will lead to the Come Fly With Me quest.
 * You can also use the terminal in his hotel room to read his journal logs to trigger the continuation of the quest. No karma loss, and Manny will not turn hostile toward you, even if he witnesses you using the terminal.

Boulder City

 * Manny will then tell you that they went to Boulder City. Go there and begin the quest Boulder City Showdown. About halfway through, when you talk to Jessup, you will complete.

Bugs

 * To finish extremely quickly:
 * Simply make your way to the New Vegas Strip through Camp McCarran's terminal building on the monorail and head into the Tops Casino
 * As long as Benny is in your sights, you will get the XP and a "Quest Complete" message on-screen (The trip through the wasteland is extremely dangerous, a few stealth boys and/or stimpaks are recommended)
 * If you clear out the building to the west before going to Manny, the mission may not be marked as completed, even if you go back to the building after speaking with Manny.