A bus leaves at 12.25 noon and reaches destination at 10.45 am. The duration of the journey is

### Concept & Duration Calculation The total duration of a journey is the time elapsed between the departure time and the arrival time. Breaking the time interval into chunks (noon to next day, etc.) simplifies the math. ### Step-by-Step Solution 1. **Given:** Departure = 12.25 PM (noon). Arrival = 10.45 AM (next day). 2. Calculate the time from 12.25 PM to 12.25 AM (midnight) = 12 hours. 3. Calculate the time from 12.25 AM to 10.25 AM = 10 hours. 4. The total time so far is 22 hours, which brings us to 10.25 AM. 5. The remaining time from 10.25 AM to 10.45 AM is 20 minutes. 6. Total duration = 12 hours + 10 hours + 20 minutes = 22 hours 20 minutes. ### Exam Strategy & Shortcut A 24-hour journey from 12.25 noon would end at 12.25 noon the next day. Since the bus arrives at 10.45 AM, it arrives earlier than 24 hours. The difference between 12.25 and 10.45 is 1 hour 40 minutes. $$24 \text{ hrs} - 1 \text{ hr } 40 \text{ min} = 22 \text{ hrs } 20 \text{ min}$$ ### Common Pitfall Students often miscalculate the 12-hour boundary or confuse AM and PM, sometimes answering 24 hrs 20 min by treating the departure as midnight. ### Final Answer Therefore, the correct answer is **22 hrs 20 min**.