How handy are you? If it was me I'd pop the timer and see if it was like the one that Bobby was talking about, if it was then I'd pull the cover on the timer, usually the cover is on the side and then grab the points file and the non greasy contact cleaner, look for the set of points that had burnt marks on them and dress them and spray them, after that take a piece of paper and slip it between the points and slide it back and forth until it was clean, respray let dry put back together and try it, the other thing is a ball point pen plastic ink tube with out ink and the nib removed makes a decent insulated probe obviously if you push on the right set of contacts and it starts working you've found the problem, But if you're not comfortable around live electrical parts DON'T DO IT repeat DO NOT DO IT the possibility that you Zap your self for a washer repair is stupid and embarrassing. The other thing to remember is it's going on 2100 (9 local time and I've sucked back a little Rum to kill the pain) and what I've described as a fix, worked for me but it is dangerous and may not be worth it. Talk to me when I'm straight, if your determined and I'll walk you through it.
Bill the demon.