Step 1: Divide 1275 hours by 24 to find the remainder: \[ 1275 \div 24 = 53 \, {quotient} \, {with} \, 3 \, {remainder}. \] Step 2: The remainder 3 means the time advances by 3 hours from 9:00 p.m., which is 9:00 p.m. the next day.