You could expect a dose of prednisone to stay in your system for 16.5 to 22 hours.
The elimination half life of prednisone is around 3 to 4 hours. This is the time it takes for your body to reduce the plasma levels by half. It usually takes around 5.5 half lives for a drug to be completely eliminated from your system.
How long does prednisone stay in your system? (drugs.com)
Prednisone’s half-life is two to three hours; this means it will be fully eliminated from your body around 11 to 16.5 hours after you take it.
How long does it take for prednisone to work? (drugs.com)