Abdul, while driving to school, computes the average speed for
his trip to be 20 km h-1. On his return trip along the same
route, there is less traffic and the average speed is
30 km h-'. What is the average speed for Abdul's trip?
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Answer:
Distance traveled to reach the school = distance traveled to reach home = d (say)
Time taken to reach school = t1
Time taken to reach home = t2
therefore, average speed while going to school = total distance travelled/ total time taken = d/t1 = 20 kmph
Average speed while going home = total distance travelled/ total time taken = d/t2= 30 kmph
Therefore, t1 = d/20 and t2 = d/30
Now, the average speed for the entire trip is given by total distance travelled/ total time taken
= (d+d)/(t1+t2)kmph = (d+d)/(d/20+d/30)kmph
= 120/5 kmh-1 = 24 kmh-1
Therefore, Abduls average speed for the entire trip is 24 kilometers per hour.
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