Alice and Bob were supposed to have a date at some o'clock. But, Bob was late for the date.
Alice was upset. She said "See you tomorrow at the same time." and went away.
Several interesting properties for their arrival times:
- Bob's arrival time is represented by three distinct digits.
- Rearranging those three digits, we get only one time before the appointment time and she arrived at that time.
- Bob was late within one hour.
- When we rearrange the three digits, other times are late more than one hour but less than two hours.
What time o'clock was their date?