A man crosses a road 250m wide in 75 seconds. His speed in km/hr is

Options

A. 12
B. 14
C. 10
D. 8

Answer

To find the speed of a man crossing a road that is 250 meters wide in 75 seconds, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Distance (D) = 250 meters
- Time (T) = 75 seconds

2. **Convert distance from meters to kilometers**:
- Since 1 kilometer = 1000 meters, we convert 250 meters to kilometers:
\[ D = \frac{250}{1000} = 0.25 \text{ kilometers} \]

3. **Convert time from seconds to hours**:
- Since 1 hour = 3600 seconds, we convert 75 seconds to hours:
\[ T = \frac{75}{3600} \text{ hours} \]

4. **Calculate the speed**:
- Speed (S) is calculated using the formula:
\[ S = \frac{D}{T} \]
- Substituting the values we found:
\[ S = \frac{0.25 \text{ km}}{\frac{75}{3600} \text{ hours}} = \frac{0.25 \times 3600}{75} \]

5. **Simplify the calculation**:
- Calculate \(0.25 \times 3600 = 900\):
\[ S = \frac{900}{75} = 12 \text{ km/hr} \]

### Final Answer:
The speed of the man is **12 km/hr**.