A person boarded an express train on 30 January 2023 at New Delhi for Bangalore. The train departed from New Delhi at 17 : 00 hours and reached Bangalore at 17 : 00 hours on 31st January 2023. If the distance between New Delhi and Bangalore by train route is nearly 1776 km. The average speed of the train during this Journey was :

Correct Answer: 74 km/hr

Step-by-Step Explanation:

Step 1: Find the total time taken for the journey

The train departed from New Delhi on 30th January 2023 at 17:00 hours and arrived at Bangalore on 31st January 2023 at 17:00 hours.

The duration from 17:00 hours on 30th January to 17:00 hours on 31st January is exactly 24 hours.

$\text{Total Time}=24\text{hours}$

Step 2: Note the total distance traveled

The given distance between New Delhi and Bangalore along the train route is:

$\text{Total Distance}=1776\text{km}$

Step 3: Calculate the average speed of the train

Average speed is defined as the total distance covered divided by the total time taken.

$\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total Time}}$

Substitute the given values into the formula:

$\text{Average Speed}=\frac{1776\text{km}}{24\text{hours}}$

$\text{Average Speed}=74\text{km/hr}$

Hence, the average speed of the train during the journey was 74 km/hr.