Want to increase the amount of push ups i can do...?

My question is, would my progress be better if i did fast push ups
or slow ones? (obviously not ridiculously fast or slow and my form is not
compromised either way)?
Slow allows the body to strain for longer. Do them until fatigued and cant go no
more and then bend your legs so your knees are on the floor not your toes and
then do them some more for maximum strength and size increase. Try various
different press-ups as well.
Depents on what kind of muscles you are training.
You can train the: Massa muscle or Strength muscle.
Massa muscle is just to look big strong with big arms
Strength muscle is just not very big arms but strong.

Fast pushups for the strength muscle.
Slow pushups for the massa muscle.

And a best way to pushup is to aim your fingertips to eachother so your fingers
are facing your head.
Goodluck!
Going slower for a long time is better than going fast for a short period.

Try to do as many pushups as you can about three times a week (leaving a day
inbetween if you can). Eat or drink protein (fish, red meat or protein
suppliments) to help your muscles build strength.

If you keep it up for a month or so, you might want to look into more proper
methods and other exercises, to keep your muscles balanced. Just do an internet
search for starting bodybuilding for simple routines.
IDK its hard to anwser that