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

Question

Accepted Answer

To determine the total travel time of the train journey from Delhi to its destination, we need to calculate the duration between the departure and arrival times.

1. **Departure Time:** 29th August 2019 at 16:30 hours
2. **Arrival Time:** 31st August 2019 at 08:45 hours

**Step-by-step Calculation:**

- **From 29th August 16:30 to 30th August 16:30:** This is exactly 24 hours.
- **From 30th August 16:30 to 31st August 08:45:**

- From 16:30 to midnight (00:00) on 31st August is 7 hours and 30 minutes.
  - From midnight (00:00) to 08:45 on 31st August is 8 hours and 45 minutes.

Adding these intervals together:

- **First Interval:** 24 hours
- **Second Interval:** 7 hours 30 minutes + 8 hours 45 minutes = 16 hours 15 minutes

**Total Travel Time:**

- 24 hours + 16 hours 15 minutes = 40 hours 15 minutes

Therefore, the total travel time of the journey is 40 hours and 15 minutes, which corresponds to **Option 4**.

**Explanation for Incorrect Options:**

- **Option 1 (36 hours 15 minutes):** This option underestimates the travel time by not accounting for the full duration from 30th August 16:30 to 31st August 08:45.
  
- **Option 2 (38 hours 45 minutes):** This option also underestimates the travel time, missing some hours and minutes in the calculation.

- **Option 3 (39 hours 45 minutes):** This option is close but still underestimates the total travel time by 30 minutes.

In conclusion, the correct calculation confirms that the total travel time is indeed 40 hours and 15 minutes, making **Option 4** the correct answer.