Find the distance travelled by a car with speed 92.4 km/h in 20 min.

Options

A. 18480 m
B. 30800 m
C. 15400 m
D. 92400 m

Answer

To find the distance travelled by a car with a speed of 92.4 km/h in 20 minutes, we can follow these steps:

### Step 1: Convert the speed from km/h to m/s
To convert km/h to m/s, we use the conversion factor:
\[ 1 \text{ km/h} = \frac{5}{18} \text{ m/s} \]
So, we multiply the speed by \(\frac{5}{18}\):
\[ \text{Speed in m/s} = 92.4 \times \frac{5}{18} \]

### Step 2: Calculate the speed in m/s
Now, we calculate:
\[ \text{Speed in m/s} = 92.4 \times \frac{5}{18} = 25.67 \text{ m/s} \quad (\text{approximately}) \]

### Step 3: Convert time from minutes to seconds
Next, we convert the time from minutes to seconds. Since there are 60 seconds in a minute:
\[ \text{Time in seconds} = 20 \times 60 = 1200 \text{ seconds} \]

### Step 4: Use the formula to find distance
The formula for distance is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Substituting the values we have:
\[ \text{Distance} = 25.67 \text{ m/s} \times 1200 \text{ s} \]

### Step 5: Calculate the distance
Now, we calculate the distance:
\[ \text{Distance} = 25.67 \times 1200 = 30804 \text{ meters} \quad (\text{approximately}) \]

### Step 6: Round the distance
Rounding this to the nearest hundred gives us:
\[ \text{Distance} \approx 30800 \text{ meters} \]

### Final Answer
The distance travelled by the car is approximately **30,800 meters**.

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