a train travels with a speed of 60 km per hour from station a to station b and then comes back with a speed of 80 kilometre per hour from station b to station a find the average speed and average velocity of the train.
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Average speed = Total distance/Total time
Average velocity = Total displacement/Total time
Let the distance between the two stations be S then,
Total dist = 2S
Total time = Time from A to B + Time from B to A
= Distance/Speed + Distance/Speed
= S/60 + S/80 = (8S+6S)/480 = 14S/480 = 7S/240
Total displacement = 0km (Initial and Final position of train is A)
Therefore,
Average speed = Total distance/Total time = 2S/(7S/240) = 480/7 km/h
Average velocity = Total displacement/Total time = 0km/h
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