I'm crying here! Take another $15 and go buy a 25' drain snake that will hook onto your drill, it'll save you the plumber call next time and you'll have a working drain/sink inside of 10 minutes. And if the 25' snake won't reach it, at least you'll have gotten your $40 worth when the plumber comes.
And if you don't have a battery charger for your car, or a compressor to put air in a flat tire, buy those, too. Ya gonna call a tow truck because you left your lights on?
I've got one of those 50' power snakes, works great. But I know if I ever tried using it in a PVC pipe I'd end up blasting through an elbow or snagging/destroying a "T". I'd probably try gentler approaches first (maybe a tape used for fishing wires into walls, or a stout piece of steel wire with an spiral or small hook on the end. A piece of 1/4" plastic pipe and a hose adapter to blast through the clog?).