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Question

Abdul, while driving to school, computes the average speed for his trip to be 20km/hr. On his return trip along the same route, there is less traffic and the average speed is 30km/hr. What is the average speed for Abdul's trip?


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Solution

Step 1: Given Data

Average speed when going, v1=20km/hr

Average speed when returning, v2=30km/hr

Step 2: Determine the time taken when going

Let the total distance be sand it will be equal for both the trips.

Let the time taken when going be t1

Therefore, the time taken will be

t1=sv1=s20

Step 3: Determine the time taken when returning

Let the time taken when returning be t2

Therefore, the time taken will be

t2=sv2=s30

Step 4: Determine the total time taken

The total time taken is,

t=t1+t2=s20+s30=s12

Step 5: Determine the average speed

The total distance will be s+s=2s

Average speed is given by,

v=totaldistancetotaltime=2ss12=24km/hr

Therefore, the average speed for Abdul's trip is 24km/hr.


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