Make sure that your drain is not restricted at all, sometimes down where the stopper is controled it can get hair and junk clogging it. It may be that the sink cant take as much water as the washer puts out. Will it reach to the bathtub?
I had the pipes checked for clogs and there ok. No, it won't reach the bath tub. How about a longer hose ormaybe with a u-hose?
You can use a longer hose, just make sure that it comes up as high as the top of the washer before it goes into the tub.