How many seconds does Puja take to cover a distance of 500 m, if she runs at a speed of 30 km/hr?A)40secB)60secC)44secD)55sec

1. Break Down the Problem

We need to determine how long it takes Puja to cover a distance of 500 meters at a speed of 30 kilometers per hour. We will convert the speed from kilometers per hour to meters per second to make the calculations easier.

2. Relevant Concepts

The relationship between speed, distance, and time can be expressed using the formula: $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

The speed needs to be converted from kilometers per hour (km/hr) to meters per second (m/s) using the conversion factor: $1 \, \text{km/hr} = \frac{1000 \, \text{m}}{3600 \, \text{s}} = \frac{1}{3.6} \, \text{m/s}$

3. Analysis and Detail

1. Convert speed from km/hr to m/s: $\text{Speed} = 30 \, \text{km/hr} = 30 \times \frac{1000 \, \text{m}}{3600 \, \text{s}} = \frac{30000}{3600} \approx 8.33 \, \text{m/s}$

2. Calculate the time taken to cover 500 meters: $\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{500 \, \text{m}}{8.33 \, \text{m/s}} \approx 60 \, \text{s}$

4. Verify and Summarize

Upon re-evaluating the steps and calculations, we confirm that the time taken for Puja to cover 500 meters at a speed of 30 km/hr is approximately 60 seconds.

Final Answer

The time taken by Puja to cover the distance of 500 m is 60 seconds (Option B).