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Question

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


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Solution

Step 1. Given data:

Motorcyclist speed from A to B = 30kmh-1

Motorcyclist speed from B to A = 20kmh-1

Let the distance from A to B is D km.

Distance for the entire journey is 2D km.

Step 2. Formula used:

Time taken T = DistanceD/ Speed v

Step 3. Calculations:

So, the total time taken T is

T=D30+D20=2D+3D60=5D60=D12Hrs.

Average speed = Total distance/Total time.

Average speed = 2DD12=2D×12D=24kmh-1

Hence, the average speed of the motorcycle is 24kmh-1.


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