Calculating Walking Distance from Speed and Time

Understanding the relationship between speed, time, and distance is essential for various real-life applications, including calculating how far a person has walked given their speed and time. This article explains how to calculate the distance walked in meters when given a speed in kilometers per hour (km/h) and a duration in minutes and seconds. We'll explore various methods and provide step-by-step calculations to help you find the solution.

Methods to Calculate Distance

Let's break down the methods provided in the problem statement and understand how each approach leads to the final answer:

Method 1: Converting Units and Multiplying

Given: Speed 11 km/h, Time 21 minutes and 12 seconds

Convert speed from km/h to m/s:

Speed 11 km/h 11 / 3.6 m/s 3.05555555556 m/s

Convert time to seconds:

Time 21 minutes 12 seconds 21 × 60 12 1272 seconds

Calculate the distance:

Distance Speed × Time 3.05555555556 m/s × 1272 s ≈ 3886.650 m

Method 2: Unit Conversion and Direct Multiplication

Given: Speed 11 km/h, Time 21 minutes and 12 seconds

Convert speed from km/h to m/s:

Speed 11 km/h 11000 / 3600 m/s ≈ 3.05555555556 m/s

Convert time to seconds:

Time 21 minutes 12 seconds 21 × 60 12 1272 seconds

Calculate the distance:

Distance Speed × Time 3.05555555556 m/s × 1272 s ≈ 3886.650 m

Method 3: Direct Conversion and Calculation

Given: Speed 11 km/h, Time 21 minutes and 12 seconds

Convert speed from km/h to m/s:

Speed 11 km/h 5.5 km/h 5500 / 3600 m/s ≈ 1.52777777778 m/s

Convert time to seconds:

Time 21 minutes 12 seconds 13 minutes 8 seconds 13 × 60 8 788 seconds

Calculate the distance:

Distance Speed × Time 1.52777777778 m/s × 788 s ≈ 1203.889 m

Conclusion

Using any of the methods above, we can calculate the distance walked by someone who is moving at a speed of 11 km/h for 21 minutes and 12 seconds. The final answer, in meters, is approximately 3886.65 meters or 1203.89 meters, depending on the method used and the level of precision required.

Key Takeaways

To convert km/h to m/s, divide the speed by 3.6. To convert minutes and seconds to seconds, multiply the minutes by 60 and then add the seconds. The formula to calculate distance is Distance Speed × Time.

Related Keywords

Walking Distance, Speed and Time, Conversion