A car moves with a speed of 80 km/hr . What is the speed of the car in metres per second?

Options

A. ` 22 (2)/(9) m//sec`
B. ` 8 m/sec `
C. ` 20 (1)/(9) m/sec`
D. ` 8 (2)/(3) m/sec`

Answer

To convert the speed of a car from kilometers per hour (km/hr) to meters per second (m/s), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given speed**: The speed of the car is given as 80 km/hr.

2. **Understand the conversion factors**:
- 1 kilometer (km) = 1000 meters (m)
- 1 hour (hr) = 3600 seconds (s)

3. **Set up the conversion**: We want to convert 80 km/hr to m/s. We can use the conversion factors:
\[ \text{Speed in m/s} = \text{Speed in km/hr} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ hr}}{3600 \text{ s}} \]

4. **Substitute the values**:
\[ \text{Speed in m/s} = 80 \times \frac{1000}{3600} \]

5. **Calculate the multiplication**:
\[ \text{Speed in m/s} = 80 \times \frac{1000}{3600} = \frac{80000}{3600} \]

6. **Simplify the fraction**:
- Divide both the numerator and the denominator by 100:
\[ \frac{80000 \div 100}{3600 \div 100} = \frac{800}{36} \]

7. **Further simplify**:
- Divide both the numerator and the denominator by 4:
\[ \frac{800 \div 4}{36 \div 4} = \frac{200}{9} \]

8. **Final result**: The speed of the car in meters per second is:
\[ \frac{200}{9} \text{ m/s} \]