Akhil takes 20 minutes to go from his home to market and 40 minutes for the return journey. If the distance between the market and the home is 6.0 km, what is his average velocity?

Options

A. 0
B. `5ms^(-1)`
C. `4ms^(-1)`
D. `3ms^(-1)`

Explanation

To find Akhil's average velocity, we need to follow these steps:

### Step 1: Understand the Concept of Displacement
Displacement is defined as the shortest distance from the initial position to the final position. In this case, Akhil starts at his home and returns to the same point after going to the market.

### Step 2: Calculate the Displacement
Since Akhil starts and ends at the same location (his home), the displacement is:
- Displacement = Final Position - Initial Position = Home - Home = 0 km

### Step 3: Calculate the Total Time Taken
Akhil takes 20 minutes to go to the market and 40 minutes to return home. Therefore, the total time taken is:
- Total Time = Time to Market + Time to Return = 20 minutes + 40 minutes = 60 minutes

### Step 4: Convert Time to Seconds
To calculate average velocity in standard units (meters per second), we need to convert the total time from minutes to seconds:
- Total Time in seconds = 60 minutes × 60 seconds/minute = 3600 seconds

### Step 5: Use the Average Velocity Formula
The formula for average velocity (V) is given by:
\[ V = \frac{\text{Displacement}}{\text{Total Time}} \]
Substituting the values we have:
\[ V = \frac{0 \text{ km}}{3600 \text{ seconds}} = 0 \text{ m/s} \]

### Final Answer
Akhil's average velocity is **0 m/s**.

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