Mohan travels at $20 m / s$ from home to market and returns back at $25 m / s$ . Which of the followings is his average velocity for the entire journey?

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22.5 m / s

20 m / s

25 m / s

0 m / s

answer is D.

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Detailed Solution

Mohan travels at

20 m / s

from home to market and returns back at

25 m / s

. The average velocity of Mohan is zero.
Here, we have to find out the average velocity of Mohan.
We know that

v = \frac{d}{t}

v = velocity

d = displacement

t = time taken

Displacement and velocity are parameters which have both direction and magnitude. So when we measure displacement and velocity, we need to consider the direction as well. Here Mohan went to market in one direction and came back in the opposite direction. Even though he travelled a particular distance, the displacement becomes zero as he comes back the same distance in the opposite direction.
Therefore the velocity becomes,