So I read the guide, it says go to world 60 and join a corp for this. Seeing as I've never done it before I don't know what corp chat to join. I talk to larry in ardy zoo. But really how do people finish this in an hour? what day does it reset, and how long do I have before I need to wait till the next reset?

I believe that it resets every Wednesday, and the chat I use is w60 penguins. On the RSOF they have a few threads which tell you where they are in text as well, if you have trouble with the clan chat.

On world 60, there's a clan that works to trap the penguins, making them easy to find quickly. They have topics going over the penguin locations every week in RSOF. They are under Distractions & Diversions and are titled "Penguin Locations vx" where "x" is how many weeks it's been since Penguin Hide & Seek was released.