Food Crazy cat - vomiting after eating

My dear kitty is way too crazy over food. She is 1 years old, and is on a feeding schedule to have breakfast at 8am and dinner at 8pm. I figured since she is an adult, feeding twice a day would be ideal.
She spends most if the day sitting on her placemat to be fed, she even sleeps there.
Everytime I walk past her feeding area, she comes galloping in the room, screaming and spinning in circles. She has been on this schedule for her whole life, you'd think by now she would understand the schedule.
She is a submissive cat, and I can guarantee if she wasn't she would be taking everyone else's food. When she finnishes (always first), she sits and waits for her sisters to Finnish, then proceeds to lick their bowls, move them around and look for the tiniest scraps. She will spend about 15 minutes doing this.
We feed them all the same exact ammount. So she isn't getting less.
She eats so fast and doesn't break up the pieces, and ends up throwing it all up. If I don't clean it up in time, she will try to eat it again.
It's getting frustrating that she won't slow down and is constantly worried about food.
Whenever we eat, she snatches it out of our hands.
What can we do??
We thought about the bowls made for dogs to slow down eating, would this work?

What are you feeding and how much?

My cat does the same with dry food, so we stopped feeding dry food. She only gets wet.

When feeding, maybe separate the amount into small portions, instead of just 1 portion. Then wait a few minutes in between portions to make sure her stomach settles, before giving the next portion. 

I would be curious to know how much, per day, she gets, and what her body weight is?

My cat is very food driven....she was a rescue from a cat hoarder, so she was always in competition for food. We've had her for over a year now, and she is still very food driven! She acts like she never gets fed, but believe me, she gets enough calories haha! 

If there's a difference size or activity level, it's possible she's not eating enough compared to her sister, or she may do better with more frequent feedings.

If you feed dry, the bowls intended to slow down dogs eating may help, but it may also be frustrating since they can sometimes force cats to wedge their whiskers against their face to reach the food. You can put a ping pong ball or golf ball into the bowl so she has to go around it slower to get to her food. It's essentially the same concept used for those dog bowls - putting something in the way so she can't just smack her face in and inhale. There are some DIY solutions, like @Draco made this handy toy and a few of us mimicked it and put a piece of kibble into each tube that the cat has to paw out first.

If you feed wet, you can use a larger, flatter surface and spread the food flatter so she has to take her time lapping it up. If she's vomiting, you definitely want to be able to slow her down. One of our cats prefers having his meals split on two saucers instead of one as well, so splitting up the meal and giving her less all at once, and making her go to another dish to get the rest might help, like @Nora1 suggested.

You could use her food drive to get her exploring. If you find she spends all of her time just waiting for food, in between meals, try scattering some kibble around the home. We do this at night so the cats have a way to direct their energy instead of just flying off the walls while we sleep. We put single pieces of kibble on the tops of backs of chairs, on couch cushions, in boxes, at multiple points of the cat towers, on door knobs, in toys, etc. It gets them moving, it gets them exploring, and they get what they like: food!

I really love using those treat balls too. Kismet adores hers, and I've reinforced it with tape so it takes a long time for all the food to get rolled out and she can only get 1 or 2 out at a time.

Nora1 said:

 
My cat does the same with dry food, so we stopped feeding dry food. She only gets wet.

When feeding, maybe separate the amount into small portions, instead of just 1 portion. Then wait a few minutes in between portions to make sure her stomach settles, before giving the next portion. 

I would be curious to know how much, per day, she gets, and what her body weight is?

My cat is very food driven....she was a rescue from a cat hoarder, so she was always in competition for food. We've had her for over a year now, and she is still very food driven! She acts like she never gets fed, but believe me, she gets enough calories haha! 

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One of our cats is also a fast eater who's been know to regurgitate after eating too fast. We do lots of things Nora1 and @pinkdagger mention. I agree about serving smaller portions: we feed our cats five or six times a day so they get small portions, and I always flatten out food for the fast eater. Both those things have helped a lot.

It might also be helpful to separate the cats when you feed them. That's helped tremendously for us by taking the pressure off both cats. (One eats very fast, the other eats very slowly, so this is important!) 

In our case, I think there's a lot to what Nora1 says about food-driven cats and their backgrounds: our cats were also rescued from a too-many-cats situation. They were extremely  underfed, and the fast eater was particularly tiny and pushy about getting food. We adopted them at 10 months and they're a little over two years old now... Edwina, the fast eater, has calmed down quite a bit about her food over time, so maybe your cat will, too, misstufts! Of course I'm also curious to hear more details about your kitty's weight and food! At any rate, good luck!

Thank you everyone for the wonderful feedback. We feed a Holistic dry food that is grain free (Solid Gold) and it is the only food she can eat without becoming very sick. I unfortunately cannot do a natural raw diet, as I am very sensitive to bacteria found in raw meat. We have every food under the sun, even in the wet food, but all cause all of our cats to have vomiting and diarrhea.

Our two cats are rather large, she is a Norwegian forest cat, and weight around 12 pounds. The other is a short stocky female around the same weight (10.3 pounds I believe). Our third is more petite and gets the same amount as the big girls. She usually doesn't Finnish, and the other will Finnish it for her. We feed according to weight, 3/4 a cup for each.

We will have to try the ping pong ball to help slow her down. I often Just pick her up and hold her to let her breathe and let her get some of it down.

We have tried to leave out an automatic feeder, but she sits and eats the entire thing.

I'm glad I'm not alone with this problem, it gets rather frustrating.

I'll try separating her food into portions as well, and see how this goes for us.

Your cat may have a thyroid problem. I had a cat many years ago that was constantly "starving" even to the point of getting in the garbage and snatching food out of the dog's mount! With medication, she improved.