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Class 11>>Physics>>Motion in a Straight Line>>Speed and Velocity>>A boy goes from his house to school by b

Question

A boy goes from his house to school by bus at a speed of 20 km h−1 and returns back through the same route at a speed of 30 km h−1. The average speed of his journey is:

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Solution

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Let the distance between the school and the house is x km

Speed of the boy from house to school =20 km/hr.

Using formula, Time taken =speeddistance.

So, time taken =20x hours.

Also,Speed of the boy from school to the house =30 km/hr

So, time taken =30x hours.

Total time taken =20x+30x=12xhours

Also total distance covered by boy =x+x=2x km.

Using formula,

Average speed =TotaltimeTotaldistance=12x2x=24 km/hr.

Thus, average speed of the boy's journey is 24 km/hr.

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