How long does it take for your body to get rid of the alcohol in one standard drink? a. 10 Minutes b. 20 Minutes c. 1 hour d. 2 hours. kgb answers » Health & Body » Health & Fitness » How long does it take for your body to get rid of the alcohol in one standard drink? a. 10 Minutes b. 20 Minutes c. 1 hour d. 2 hours. It can take up to 2 hours for your body to get rid of the amount of alcohol in one standard drink. Tag: alcohol.