You can get rid of the sore throat part faster by gargling a few times a day with warm salt water; the salt kills the germs. Drink lots of fluids so the congestion is thin and more easily got rid of. Blow your nose instead of sniffling; your body needs to get all that junk out.
You can't. Unless your immune system works miracles. Since most colds are caused by viruses, antibiotics and treatments don't work. So just take something that relieves your cold symptoms, so u don't have to suffer as much, but you can't get rid of it fast.