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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−1. What is the average speed for Abdul’s trip?
Asked by Sangeeta Last Modified
Answer 
Shivam Sharma
Case I: While driving to school
Average speed of Abdul’s trip = 20 km/h
Total distance = Distance travelled to reach school = d
Let total time taken = t1
…(i)
Case II: While returning from school
Total distance = Distance travelled while returning from school = d
Now,total time taken = t2
30=dt2t2=d30 ..... (ii)30=dt2t2=d30 ..... (ii)
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
= t1 + t2
From equations (i) and (ii),
Average Speed=2dd20+d30=23+260Average Speed=1205=24 m/sAverage Speed=2dd20+d30=23+260Average Speed=1205=24 m/s
Hence, the average speed for Abdul’s trip is 24 m/s.
read less
Let distance=d
Time = t1 for going
Time= t2 for coming back
t1=d/20
t2=d/30
Total distance=2d
Total time = t1+t2
Avg speed = distance/time
= 2d/(d/20 + d/30)
= 24 m/s
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