A body covers half the distance with a velocity 10 m/s and remaining half with a velocity 15 m/s along a straight line. The average velocity will be-

Options

A. 12 m/s
B. 10 m/s
C. 5 m/s
D. 12.5 m/s

Explanation

To find the average velocity of the body that covers half the distance at a speed of 10 m/s and the other half at a speed of 15 m/s, we can follow these steps:

### Step-by-Step Solution:

1. **Define the total distance**:
Let the total distance covered by the body be \( x \). Therefore, the first half of the distance is \( \frac{x}{2} \) and the second half is also \( \frac{x}{2} \).

2. **Calculate the time taken for the first half**:
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