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A person boarded an express train on 29th November, 2019 at Surat (Gujarat) for Nagarcoil (Kerala). The train departed from Surat at 19:45 hours and reached Nagarcoil at 11:45 hours on 1st December, 2019. If the distance between Surat and Nagarcoil by train route is nearly 2120 km, the average speed of the train during this journey was

  • A.132.5 km/h
  • B.60 km/h
  • C.53 km/h
  • D.45 km/h

Answer: C

The average speed was 53 km/h.

From 19:45 on 29 November to 19:45 on 30 November is 24 hours; to 11:45 on 1 December is another 16 hours, so the journey took 40 hours:

\[ \begin{aligned} \text{speed} &= \frac{2120\ \text{km}}{40\ \text{h}} \\ &= 53\ \text{km/h} \end{aligned} \]

The option 132.5 km/h uses only 16 hours, forgetting the full day in between, 60 km/h does not follow from the times, and 45 km/h would need about 47 hours.

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