An athlete runs 200 metres race in 24 seconds. His speed (in km/hr) is

Options

A. 20
B. 24
C. 28.5
D. 30

Answer

To find the speed of the athlete in kilometers per hour, we can follow these steps:

### Step 1: Identify the given values
- Distance = 200 meters
- Time = 24 seconds

### Step 2: Calculate speed in meters per second
The formula for speed is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Substituting the given values:
\[ \text{Speed} = \frac{200 \text{ meters}}{24 \text{ seconds}} = \frac{200}{24} \text{ m/s} \]

### Step 3: Simplify the fraction
To simplify \(\frac{200}{24}\):
\[ \frac{200}{24} = \frac{25}{3} \text{ m/s} \]

### Step 4: Convert speed from meters per second to kilometers per hour
To convert from meters per second to kilometers per hour, we use the conversion factor:
\[ 1 \text{ m/s} = 3.6 \text{ km/hr} \]
Thus,
\[ \text{Speed in km/hr} = \frac{25}{3} \text{ m/s} \times 3.6 \]

### Step 5: Calculate the speed in kilometers per hour
Calculating:
\[ \text{Speed in km/hr} = \frac{25 \times 3.6}{3} = \frac{90}{3} = 30 \text{ km/hr} \]

### Final Answer:
The speed of the athlete is **30 kilometers per hour**.

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