A train leaves Delhi on 29th August, 2019 at 16 : 30 hours and reaches its destination on 31st August at 08 : 45 hours. The total travel time of the journey is

The correct option is 40 hours 15 minutes.

To find the total travel time of the train's journey, we can break down the time spent traveling on each day step-by-step.

Step 1: Calculate the travel time on 29th August, 2019
The train departs at 16:30 hours (4:30 PM). A full day ends at 24:00 hours (midnight).
Travel time on 29th August = 24:00 hours - 16:30 hours

$24:00-16:30=7\text{hours}30\text{minutes}$

Step 2: Calculate the travel time on 30th August, 2019
The train travels for the entire full day on 30th August.
Travel time on 30th August = 24 hours.

Step 3: Calculate the travel time on 31st August, 2019
The train arrives at its destination at 08:45 hours.
Travel time on 31st August = 8 hours 45 minutes.

Step 4: Calculate the total travel time
Now, add the time spent on each of the three days together:

$\text{Total Time}=7\text{hours}30\text{minutes}+24\text{hours}+8\text{hours}45\text{minutes}$

First, add the hours together:
$7\text{hours}+24\text{hours}+8\text{hours}=39\text{hours}$

Next, add the minutes together:
$30\text{minutes}+45\text{minutes}=75\text{minutes}$

Convert 75 minutes into hours and minutes:
$75\text{minutes}=1\text{hour}15\text{minutes}$

Finally, combine the total hours and remaining minutes:
$39\text{hours}+1\text{hour}15\text{minutes}=40\text{hours}15\text{minutes}$

Thus, the total travel time of the journey is 40 hours 15 minutes.