Read the following Railway timings of New Delhi - Chennai Rajdhani Express and answer the question:
`{:("Station ", "Arrival", " ""Departure "),("New Delhi",-, 15:55),("Bhopal" ,23:55, 00:05),("Nagpur",05:25,05:35),("Vijaywada",14:15,14:30),("Chennai",20:45,"end"):}`
Which of the following statements is true?

Options

A. The duration of journey from Bhopal to Chennai is 21 h 40 min.
B. The duration of journey from Bhopal to Vijaywada is 13 h 10 min.
C. The duration of journey from Nagpur to Chennai is 15 h 10 min.
D. The duration of journey from New Delhi to Nagpur is 11 h 30 min.

Explanation

To solve the question regarding the railway timings of the New Delhi - Chennai Rajdhani Express, we will analyze the timings provided for each station and calculate the journey durations for the options given.

### Step-by-Step Solution:

1. **Identify the Timings:**
- New Delhi: Arrival - N/A, Departure - 15:55
- Bhopal: Arrival - 23:55, Departure - 00:05
- Nagpur: Arrival - 05:25, Departure - 05:35
- Vijayawada: Arrival - 14:15, Departure - 14:30
- Chennai: Arrival - 20:45, Departure - N/A

2. **Option A: Bhopal to Chennai**
- Departure from Bhopal: 00:05
- Arrival at Chennai: 20:45
- Calculate the duration:
- From 00:05 to 20:45
- 20:45 - 00:05 = 20 hours and 40 minutes
- Conclusion: This option is incorrect.

3. **Option B: Bhopal to Vijayawada**
- Departure from Bhopal: 00:05
- Arrival at Vijayawada: 14:15
- Calculate the duration:
- From 00:05 to 14:15
- 14:15 - 00:05 = 14 hours and 10 minutes
- Conclusion: This option is incorrect.

4. **Option C: Nagpur to Chennai**
- Departure from Nagpur: 05:35
- Arrival at Chennai: 20:45
- Calculate the duration:
- From 05:35 to 20:45
- 20:45 - 05:35 = 15 hours and 10 minutes
- Conclusion: This option is correct.

5. **Option D: New Delhi to Nagpur**
- Departure from New Delhi: 15:55
- Arrival at Nagpur: 05:25 (next day)
- Calculate the duration:
- From 15:55 to midnight (next day): 8 hours and 5 minutes
- From midnight to 05:25: 5 hours and 25 minutes
- Total duration: 8:05 + 5:25 = 13 hours and 30 minutes
- Conclusion: This option is incorrect.

### Final Answer:
The correct statement is **Option C: The duration of the journey from Nagpur to Chennai is 15 hours and 10 minutes.**