Is it not good to drive long distance with a busted cv joint on your passenger side of car?

Actually it is impossible to drive with a "busted" CV joint. The half shaft is comprised of a shaft and two CV joints at each end. There are 3 different kind of cv joints, but that's besides the point. The half shaft transfers power from the tranaxle to the wheels. If one goes, the car don't. You probably mean cv boot. The boot is what protects the cv joint from dirt and moisture etc. I have seen a cv joint fail anywhere from a month to a year and a half after seeing a torn boot. It is a gamble to drive like this. The centrifical force of the axle spinning flings the grease out of the joint. The joint goes dry, metal on metal action happens and it self destructs.