Rudy loves these eggs basted hard. They are a cross between poached and fried. You can cook them to your preference; I like basted soft myself, served with toast. You need a fry pan with a lid, glass is best, so you can watch for doneness.
Add water and cover immediately; some people add less water but I like a little more. The steam will cook the top of eggs; it takes just a minute or so, depending on how well done you like your eggs. Hard will be just like hard boiled eggs, that yellow color.
I serve these with toast and fried potatoes, just like over easy eggs.