Question

A person boarded an express train on 30^th August 2015 at Ahmedabad for Trivandrum. The train departed from Ahmedabad at 13:30 hours and reached Trivandrum at 7:30 hours on 1^st September 2015. If the distance between Ahmedabad and Trivandrum is 2268 km, the average speed of the train between the two stations was
1. 54 km / hr
2. 42 km / hr
3. 15 km / hr
4. 9 km / hr

Answer 1

Correct Answer - Option 1 : 54 km / hr
Concept:  

• Speed = Distance/Time
• Average Speed = (Total distance covered / Total time taken)

Given:

• Time is given in 24hrs format.
• Train departure time from Ahmedabad: 30th August, 13:30 hours.
• Arrival time of the train at Trivandrum: 1st September, 7:30 hours.
• The distance between Ahmedabad and Trivandrum is 2268 km.

Explanation:

Time is taken for the complete journey:

• From 30th August, 13:30 hours to 31st August, 13:30 hours = 24 hours
• From 31st August, 13:30 hours to 1st September, 1:30 hours = 12 hours
• From 1st September, 1:30 hours to 1st September, 7:30 hours = 6 hours
• Total time is taken = 42 hours

Average Speed = (Total distance covered / Total time taken) = 2268 km/42 hrs = 54 km/hr

Thus, the average speed of the bus during the entire journey is 54 km/hr.