How long does it take for a medication to leave your system?

I have a prescription for the pain medication Lortab. I’ve never ever taken one until last night, when my back pain was so bad, I thought I was going to pass out. Turns out that I can not tolerate this particular drug, and spent the rest of last night in and out of the bathroom vomiting profusely.

When I woke up this morning, I expected to feel better, but I did not and, in fact, knew I was dehydrated from so much vomiting last night. So I managed to drink Gatorade in an attempt to rehydrate myself and quell the nausea, but I still can’t eat anything and I feel kind of wobbly and out of it, if you will.

Does anyone know how long the effects of this one dose will take to wear off?