Calculate Speed in km/hr

This solution explains how to calculate Priyanka's speed in kilometers per hour (km/hr) based on the distance she covers and the time taken. We will break down the problem into simple steps.

Understanding the Given Information

We are given the following details:

• Distance covered by Priyanka: 800 m
• Time taken: 6 minutes

The goal is to find the speed in km/hr.

Step-by-Step Conversion and Calculation

To find the speed in km/hr, we first need to convert the given distance from meters (m) to kilometers (km) and the time from minutes to hours (hr).

1. Convert Distance from Meters (m) to Kilometers (km)

We know that 1 kilometer is equal to 1000 meters. To convert meters to kilometers, we divide the distance in meters by 1000.

Distance in km = $\frac{\text{Distance in m}}{1000}$

Distance in km = $\frac{800}{1000}$ km

Distance in km = 0.8 km

2. Convert Time from Minutes to Hours (hr)

We know that 1 hour is equal to 60 minutes. To convert minutes to hours, we divide the time in minutes by 60.

Time in hr = $\frac{\text{Time in minutes}}{60}$

Time in hr = $\frac{6}{60}$ hr

Time in hr = $\frac{1}{10}$ hr = 0.1 hr

3. Calculate Speed in km/hr

The formula for speed is:

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

Now, we can substitute the converted values into the formula:

Speed = $\frac{0.8 \text{ km}}{0.1 \text{ hr}}$

Speed = 8 km/hr

Final Answer Verification

After converting the distance to kilometers and the time to hours, we calculated the speed using the standard formula. The result shows that Priyanka's speed is 8 km/hr.