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Question

A motorcyclist drives from A to B with a uniform speed of 30km/h and returns back with a speed of 20km/h. Find its average speed.


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Solution

Step 1: Given

Let the distance travelled from A to B be x. So, the total distance travelled be 2x.

Speed from A to B: S1=30km/h

Speed from B to A: S2=20km/h

Step 2: Formula Used

AverageSpeed=TotalDistanceTotalTime

Step 3: Solution

Calculate the total time by adding the time taken from A to B and B to A. The time taken in going from A to B is x30h and from B to A is x20h.

T=T1+T2=x30+x20=3x+2x60=x12

Now calculate the average speed.

AverageSpeed=TotalDistanceTotalTime=2xx12=24km/h

Hence, the average speed is 24km/h.


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