They don't go away fast. Girls can hide them once you have popped them. We use make up to cover up. You want to apply a wet hot towel on the pimple. Let the white head form. Then you pop it and make sure you get all of the white head. It will drain a bit but the swelling goes down and the white head is gone.
Toothpaste does work to dry it out quickly (must be paste not gel) and a drop or two of Visine to get the red out. I also like anything with a Tea Tree base to help heal and a green cover-up stick so no one is the wiser :)
My co worker says rub noxzema on it and clean it. Then when you go to bed put a dab of noxzema on it and it will help cure it. Otherwise I know www.Menscience.com has some very good cream to help dissolve pimples quick.