I ate too much. How long will it take to recover.

You may notice a bit of water weight gain and bloat for a couple of days, but I would hardly call what you ate excessive.

Don't obsess. Fat loss can easily be achieved while still eating the so called "junk" from time to time. If you maintain a reasonable deficit 80% of the time, the remaining 20% won't matter.

Yeah that makes sense. I have days when I eat heavier like last night. I will just eat lighter today and exercise longer today.

You should start by learning that foods are not good or bad, and that eating should not be associated with emotions like fear and guilt. Ultimately food is fuel for your body, a source of nutrition, and once those needs are taken care of, the rest of your calories can consist of treats that you eat purely for the sake of enjoyment.

So yes you can eat treats and stay within your calorie goal. Many of the successful people here eat ice cream or other treats on a daily basis or several times a week. Definitely figure out how to fit the things you love into your lifestyle, because the only real success is the one that's worth actually achieving and keeping.

On slip-up is no big deal. Don't sweat it, it's not that serious.

one day of eating too much will hardly make any difference at all to your weight loss. Just don't overeat too often.

You don't need to "work it out of your system" - it's not bad food that you ate. If you ate too many calories, then your body's going to take a little bit longer to burn them off, that's all. If you're eating at a deficit the rest of the time your body will burn the excess calories in a day or so and be back to burning body fat again (so long as you are continuing to eat at a deficit)

Just get back on with the eating and exercise plan and don't stress about it.

If unplanned overeating is a regular occurrence, the usual reason for that is being too strict in the first place, either eating too few calories so you end up really hungry and prone to unplanned snacking or even binge eating... or depriving yourself of food that you really want, so after a while it gets too much and you cave in............ the solution is to ensure your calorie goal is high enough to give your body enough nutrition plus the flexibility to eat all the foods you enjoy, while still having enough of a deficit for slow and steady fat loss, and to make room for all the foods you want to eat in moderation. Aim to get enough protein, a few servings of fresh fruit/veg each day, foods that have essential fatty acids too, and the rest can be whatever you fancy so long as you stick to your calorie goal. Making dieting too hard is the main cause of failure to stick with the diet long term.

If someone regularly stuffed their face with ****...but once per week they ate some broccoli and went for a run...would that make them super fit and healthy?

Do a bit of research on how the human body actually works. There are no good foods or bad foods...there is just food...overwhelmingly your diet should be nutrient dense, but you don't get extra credit for more broccoli. I ate ice cream regularly while I was losing, as well as pizza and still do maintaining these last 9 months....it's all about balance, moderation, and portion control. The sooner you figure that out, the more success you will have and the more likely it will be that you will thrive in maintenance.

I'm a self proclaimed MFP forum expert and by my calculations it is going to take 62.57 hours

As a fellow self-proclaimed forum expert, I disagree. My calculations say 55.34 hours, if you do a little exercise and have a sticky cream egg to cleanse the system.