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A train started from Gandhidham on 16th July, 2014 at 05:15 hours and reached Nagercoil on 18th July, 2014 at 04:45 hours. The distance covered by the train is 2649 km. The average speed of the train, in km/hr, is nearly

A.
57
B.
56
C.
55
D.
54

Solution:

Concept: Speed = Distance/TimeAverage Speed = (Total distance covered / Total time taken)Given:Time is given in 24hrs format.Train departure time from Gandhidham:16th July 2014 at 05:15 hours.Arrival time of the train at Nagercoil: 18th July 2014 at 04:45 hours. The distance between Gandhidham and Nagercoil is 2649 km.Explanation:Time is taken for the complete journey:From 16th July 2014 at 05:15 hours to 17th July 2014 at 05:15 hours = 24 hoursFrom 17th July 2014 at 05:15 hours to 18th July 2014 at 04:45 hours = 23 hours 30 minTotal time is taken = 47.5 hoursAverage Speed = (Total distance covered / Total time taken) = 2649km/47.5 hrs = 55.76km/hr ~ 56 km/hrThus, the average speed of the train was nearly 56 km/hr.

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