Q&A -Ask Doubts and Get Answers

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Question:

Abdul, while driving to school, computes the average speed for his trip to be 20 kmh^{–1}. On his return trip along the same route, there is less traffic and the average speed is 30 kmh^{–1}. What is the average speed for Abdul’s trip?

Answer:

Case I: While driving to school

Average speed of Abdul's trip = 20 km/h

Average speed =

Total distance = Distance travelled to reach school = d

Let the total time taken = t_{1}

_{}

_{}

Case II: While returning from school

Total distance = Distance travelled while returning from school = d

Now, total time taken = t_{2}

_{}

_{}

Average speed for Abdul's trip =

Where,

Total distance covered in the trip = d + d = 2d

Total time taken, t = Time taken to go to school + Time taken to return to school =

Average speed

From equations (i) and (ii),

Average speed

Average speed

Hence, the average speed for Abdul's trip is 24 m/s.

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