A train travels with a speed of 60 km h-¹ from station A to station B and then comes back with a speed 80 km h-¹ from station B to station A. Find (i) the average speed,and (i i) the average velocity of train.

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Solution

Since the distance traveled with different speeds is same, the average speed of the car over the entire distance is
if two same distance are travelled at xkm/hr and ykm/hr ,then average speed for entire distance is (2xy)/(x+y)km/hr

=(2 × 60 × 80)/ (60 +80 ) = 9600/140= 68.57km/hr

Therefore, average speed over the entire distance is 68.57kmph.
Average Velocity= Total Displacement/Total Time
here total displacement is zero as he reaches the starting point itself
so average velocity =0

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