If Sohan is driving a bike at a speed of 25 m/s, then in how much time Sohan will cover a distance of 540 km?

Options

A. 7 hr
B. 5 hr
C. 21.6 hr
D. 6 hr

Answer

To solve the problem of how long it will take Sohan to cover a distance of 540 km at a speed of 25 m/s, we can follow these steps:

### Step 1: Convert the speed from meters per second to kilometers per hour.
- We know that 1 meter = 0.001 kilometers and 1 second = 1/3600 hours. Therefore, to convert meters per second to kilometers per hour, we can use the conversion factor:

\[ \text{Speed in km/h} = \text{Speed in m/s} \times \frac{3600}{1000} = \text{Speed in m/s} \times \frac{18}{5} \]

- For Sohan's speed:

\[ \text{Speed} = 25 \, \text{m/s} \times \frac{18}{5} = 90 \, \text{km/h} \]

### Step 2: Use the formula to find the time.
- The formula relating speed, distance, and time is:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

- Rearranging the formula to find time gives us:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

### Step 3: Substitute the values into the formula.
- We know the distance is 540 km and the speed is 90 km/h. Plugging in these values:

\[ \text{Time} = \frac{540 \, \text{km}}{90 \, \text{km/h}} = 6 \, \text{hours} \]

### Step 4: Conclusion
- Therefore, Sohan will take 6 hours to cover a distance of 540 km at a speed of 25 m/s.