Final answer:
Billy must wait 48 minutes for the next train since he arrives at 14:24 and the next train is at 15:12, with trains running hourly at 12 minutes past each hour.
Step-by-step explanation:
Billy arrives 12 minutes too late for the 14:12 train from London to Oxford, which runs every hour at 12 minutes past the hour.
To calculate the time Billy must wait for the next train, we consider that he arrived at 14:24 (14:12 + 12 minutes). Since trains are hourly and the next one after 14:12 would be at 15:12, we subtract the time Billy arrived from the time the next train will leave.
15:12 = 15 hours and 12 minutes – 14:24 = 14 hours and 24 minutes
Subtracting the times gives us: (15*60) + 12 - (14*60 + 24) = 912 - 864 = 48 minutes. Hence, Billy needs to wait 48 minutes for the next train.
Therefore, the correct option is:
1) 48 minutes.