I have the same problem with my wipers. They always work (knock on wood), but they are VERY slow. Just good enough to get by in a mild to moderate rain storm. Anything more than that and I need to pull over.
I'll be curious to see what the fix is. I've put this problem off for a few years now.
On 71boo's nonfunctioning washer pump...does it not work at all? Or does it try to work, but nothing comes out. Mine was working about 2 years ago, but nothing was coming out. The little metal "pipes" that are connected to the hood and firewall...and have rubber hose going to them....they were clogged with years of tree sap, debris, etc. I just gave them a shot of WD-40, carb cleaner, etc...something with one of those "red stingers" to get into tiny places...
PRESTO!! After all of these years, I have a working windshield wiper fluid system. Just something to look at.