My mom used to make a similar recipe using leftover rice when I was a kid. Now, I make it with quinoa, since I prefer that grain to rice. This is becoming a staple in my bento lunch box these days.
Note: I don't normally remove the veggies once they are cooked. Usually, I push it to the far edges of the skillet and cook the eggs in the center. This scrambles everything together nicely. Just make sure that you cook your egg thoroughly!
Also prep & cooking time is based on the assumption you are dealing with leftover, already cooked quinoa.