A tourist boarded a train on 12-10-2021 from Gandhidham for Nagercoil. The train departed from Gandhidham at 22:30 hours and reached Nagercoil at 22:30 hours after two days on 14-10-2021. If the distance between the railway station of Gandhidham and Nagercoil is 2592 km, the average speed of the train was

Concept:

• Speed: The distance travelled by the body in unit time.
• \(Speed = \frac{{Distance}}{{Time}}\)
• Also, \(Time= \frac{{Distance}}{{Speed}}\)
• Average Speed: Since the body does not always have the same speed, So we use the concept of average speed. It is the ratio of total distance covered to total time taken by the body.
• \(Average\;Speed = \frac{{Total\;Distance}}{{Total\;Time}}\)

Conversion of units of speed:

• From km/hr to m/s = multiply by 5/18
• From m/s to km/hr = multiply by 18/5

Calculation:

The person was on the train for 2 days.

Total Distance covered = 2592 Km

Time taken = 24 hrs + 24 hrs = 48 hrs

Average Speed = distance/ time = (2592/48) = 54km/h

Since the options are in m/s so,

54 × (5/18) = 15 m/s

Thus, average speed of the train is 15 m/s. 

Mistake PointsDo not confuse with units Km/hr and m/s

Conversion of units of speed:

• From km/hr to m/s = multiply by 5/18
• From m/s to km/hr = multiply by 18/5