A man crosses a 600 m long bridge in 5 min. Speed of man in km/h will be

Options

A. 3.6
B. 7.2
C. 8.4
D. 9.6

Answer

To find the speed of the man in km/h, we can follow these steps:

### Step-by-Step Solution:

1. **Convert Distance from Meters to Kilometers**:
- The length of the bridge is 600 meters.
- We know that 1 kilometer = 1000 meters.
- Therefore, to convert 600 meters to kilometers:
\[ \text{Distance in km} = \frac{600 \text{ meters}}{1000} = 0.6 \text{ km} \]

2. **Convert Time from Minutes to Hours**:
- The time taken to cross the bridge is 5 minutes.
- We know that 1 hour = 60 minutes.
- Therefore, to convert 5 minutes to hours:
\[ \text{Time in hours} = \frac{5 \text{ minutes}}{60} = \frac{1}{12} \text{ hours} \]

3. **Calculate Speed**:
- Speed is calculated using the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
- Substituting the values we found:
\[ \text{Speed} = \frac{0.6 \text{ km}}{\frac{1}{12} \text{ hours}} = 0.6 \text{ km} \times 12 = 7.2 \text{ km/h} \]

4. **Final Result**:
- The speed of the man is **7.2 km/h**.