# Abdul while driving to school computes the average speed for his trip to be 20 km/h. 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 of Abdul's trip?

By Shivank Goel|Updated : May 16th, 2023

Abdul while driving to school computes the average speed for his trip to be 20 km/h. On his return trip along the same route, there is less traffic and the average speed is 30 km/h. The average speed of Abdul's trip is 24 km/h.

Average speed is calculated by dividing the total distance travelled by an object by the total amount of time needed to complete that distance. It has only magnitude and no direction because it is a scalar quantity. The average speed is calculated in the following manner:

Average Speed = Total Distance Traveled / Total Time Taken

For example, the average speed for a car travelling 300 km in total in 5 hours would be:

Average Speed= 300 km/5 hours = 60 km/h

In this particular case, the car travelled at an average speed of 60 km per hour.

## Average Speed of Abdul's Trip

In order to determine average speed, the complete distance travelled and the total time required must be known. The differences in speed along the way are not taken into consideration by average speed. In spite of possible changes in direction or speed along the way, it offers a general indication of how quickly an object is going on average.

Solution

Average speed while driving to school = 20 km/h

Average speed while driving from school = 30 km/h

Consider the distance between school and home of Abdul as X km

Time to reach school t1 = Distance/Speed = X/20 h

Time to reach from school to home t2 = X/30 h

As average speed = total distance/ total time

Substituting the values

Average Speed = 2 x X km/ (X/20 km + X/30 km)

= 2X/ (3X + 2X)/60

= 2X/ 5X/60

= (2 x 60)/5

= 120/5

= 24 km/h

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

Summary

## Abdul while driving to school computes the average speed for his trip to be 20 km/h. 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 of Abdul's trip?

Abdul while driving to school computes the average speed for his trip to be 20 km/h. On his return trip along the same route, there is less traffic and the average speed is 30 km/h. The average speed for Abdul's trip is 24 km/h.

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