A train starts from Patna on 30$^{th}$ May, 2020 at 23:40 hours and reaches Mumbai on 1$^{st}$ June, 2020 at 5:15 hours. What is the total travel time of train ?

Question

Accepted Answer

To determine the total travel time of the train from Patna to Mumbai, we need to calculate the duration between the departure and arrival times.

1. **Departure Time:** 30th May, 2020 at 23:40 hours
2. **Arrival Time:** 1st June, 2020 at 5:15 hours

**Step-by-step Calculation:**

- **From 30th May, 23:40 to 31st May, 23:40:** This is exactly 24 hours.
- **From 31st May, 23:40 to 1st June, 5:15:**
  - From 23:40 to 24:00 (midnight) is 20 minutes.
  - From midnight (00:00) to 5:15 is 5 hours and 15 minutes.

Adding these intervals together:
- 24 hours (from 30th May, 23:40 to 31st May, 23:40)
- 20 minutes (from 31st May, 23:40 to midnight)
- 5 hours and 15 minutes (from midnight to 1st June, 5:15)

Total travel time:
- 24 hours + 5 hours = 29 hours
- 20 minutes + 15 minutes = 35 minutes

Therefore, the total travel time is 29 hours and 35 minutes.

**Explanation of Options:**

- **Option 1: 28 hours 20 minutes** - This is incorrect because the calculated total travel time is longer than 28 hours and 20 minutes.
- **Option 2: 29 hours 35 minutes** - This is the correct answer as it matches the calculated total travel time.
- **Option 3: 29 hours 15 minutes** - This is incorrect because it underestimates the travel time by 20 minutes.
- **Option 4: 28 hours 25 minutes** - This is incorrect because it underestimates the travel time by over an hour.

In conclusion, Option 2 is the correct answer as it accurately reflects the total travel time of 29 hours and 35 minutes.