Q. 33.9( 197 Votes )

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?

Answer :

Let us assume the school to be at distance x km from where Abdul starts

Suppose the time taken while driving to school is t1

Given,

Average speed = 20 km/h



Time taken,

On returning from the trip the average speed is 30 km/h

Let, the time taken for the return trip is t2



Time taken, 


Now, total distance of the whole trip from going to trip to returning back to school is:

Total distance = x + x

= 2x Km (3)

Adding (1) and (2) to get the total time

Total Time taken = Time taken to go to college +Time taken to return back to school



Solving this equation

=

=(4)


Now, we will calculate the average speed of the whole trip:

Average speed =

=


= 24 km/h


Therefore, the average speed for Abdul’s whole trip from going from to school to return back is 24 Km/h.

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