A speed of 30.6 km/hr is the same as

Options

A. 5.1m/sec
B. 8.5m/sec
C. 110.16m/sec
D. 1.7m/sec

Answer

To convert a speed of 30.6 km/hr to m/s, we can follow these steps:

### Step 1: Understand the conversion factor
To convert kilometers per hour (km/hr) to meters per second (m/s), we use the conversion factor:
\[ 1 \text{ km/hr} = \frac{5}{18} \text{ m/s} \]

### Step 2: Set up the conversion
We need to convert 30.6 km/hr to m/s. We can do this by multiplying 30.6 by the conversion factor:
\[ \text{Speed in m/s} = 30.6 \times \frac{5}{18} \]

### Step 3: Perform the multiplication
Now, we calculate:
\[ 30.6 \times 5 = 153 \]
So,
\[ \text{Speed in m/s} = \frac{153}{18} \]

### Step 4: Simplify the fraction
Next, we simplify the fraction \( \frac{153}{18} \):
- Divide both the numerator and the denominator by 3:
\[ \frac{153 \div 3}{18 \div 3} = \frac{51}{6} \]

### Step 5: Convert to decimal
Now, we can convert \( \frac{51}{6} \) to a decimal:
\[ 51 \div 6 = 8.5 \]

### Conclusion
Thus, a speed of 30.6 km/hr is the same as **8.5 m/s**.

### Final Answer
The correct option is **b) 8.5 m/s**.

---