Rajdhani express starts from a station at 7 : 29 pm and reaches next destination after 17 hours 42 minutes. The time by which it reaches the destination is

Options

A. `1 : 29 ` pm
B. `1 : 16` pm
C. `7 : 42 am`
D. `1 : 11` pm

Answer

To find the time at which the Rajdhani Express reaches its destination, we need to add the travel time of 17 hours and 42 minutes to the departure time of 7:29 PM.

### Step-by-Step Solution:

1. **Identify the Departure Time:**
The train departs at 7:29 PM.

2. **Break Down the Travel Time:**
The travel time is 17 hours and 42 minutes. We can split this into two parts:
- 17 hours
- 42 minutes

3. **Add the Hours:**
First, we add the 17 hours to the departure time:
- 7:29 PM + 12 hours = 7:29 AM (next day)
- Now, we add the remaining 5 hours:
- 7:29 AM + 5 hours = 12:29 PM

4. **Change AM to PM:**
Since we added 17 hours, the time is now in PM. So, it is 12:29 PM.

5. **Add the Minutes:**
Next, we add the 42 minutes to 12:29 PM:
- 12:29 PM + 42 minutes = 12:71 PM

6. **Convert to Proper Time Format:**
Since there are 60 minutes in an hour, we convert 12:71 PM:
- 12:71 PM = 1:11 PM (because 71 - 60 = 11 minutes, and we add 1 hour)

7. **Final Time:**
Therefore, the train reaches its destination at **1:11 PM**.

### Final Answer:
The Rajdhani Express reaches its destination at **1:11 PM**.