Find the distance travelled by a car with speed 92.4 Km/hr in 20 minutes?

Question

Accepted Answer

To determine the distance traveled by a car moving at a speed of 92.4 km/hr over a period of 20 minutes, we need to use the formula for distance:

$$ \text{Distance} = \text{Speed} \times \text{Time} $$

First, we need to convert the time from minutes to hours because the speed is given in kilometers per hour. There are 60 minutes in an hour, so:

$$ \text{Time in hours} = \frac{20 \text{ minutes}}{60} = \frac{1}{3} \text{ hours} $$

Now, we can calculate the distance:

$$ \text{Distance} = 92.4 \text{ km/hr} \times \frac{1}{3} \text{ hr} = 30.8 \text{ km} $$

Since the options are given in meters, we need to convert kilometers to meters. There are 1000 meters in a kilometer, so:

$$ 30.8 \text{ km} = 30.8 \times 1000 \text{ m} = 30800 \text{ m} $$

Therefore, the correct answer is Option 2: 30800 m.

**Explanation for why other options are incorrect:**

1. **Option 1: 18480 m** - This option is incorrect because it represents a distance that would be traveled at a lower speed or for a shorter time. The calculation does not match the given speed and time.

2. **Option 3: 15400 m** - This option is incorrect because it also represents a distance that is too short for the given speed and time. The calculation does not align with the correct conversion and multiplication.

3. **Option 4: 92400 m** - This option is incorrect because it represents a distance that would be traveled at a much higher speed or for a longer time. The calculation exceeds the expected result for the given speed and time.

In conclusion, the correct distance traveled by the car in 20 minutes at a speed of 92.4 km/hr is 30800 meters, which is why Option 2 is the correct answer.