A train is moving with the speed of 180 km/hr. Its speed (in meters per second) is:

Options

A. 5
B. 40
C. 30
D. 50

Answer

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

### Step 1: Understand the conversion factor
The conversion factor from kilometers per hour to meters per second is \( \frac{5}{18} \). This means that to convert a speed in km/hr to m/s, we multiply by \( \frac{5}{18} \).

### Step 2: Write down the speed in km/hr
The speed of the train is given as 180 km/hr.

### Step 3: Apply the conversion factor
Now, we will multiply the speed in km/hr by the conversion factor \( \frac{5}{18} \):
\[ \text{Speed in m/s} = 180 \times \frac{5}{18} \]

### Step 4: Simplify the multiplication
First, we can simplify \( \frac{180}{18} \):
\[ \frac{180}{18} = 10 \]
Now, multiply by 5:
\[ 10 \times 5 = 50 \]

### Step 5: Conclusion
The speed of the train in meters per second is 50 m/s.

Thus, the final answer is:
\[ \text{Speed of the train} = 50 \text{ m/s} \]

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