Converting the Rate to Meters per Hour

Oct 13, 2025 by miodeya.com 80 views

Introduction

In this article, we will explore the concept of calculating time to walk around a rectangular field. We will use a real-world scenario to demonstrate how to apply mathematical formulas to solve a problem. The scenario involves a man walking around a rectangular field at a rate of 4 km per hour. We will calculate the time it takes for him to make 5 rounds around the field.

Understanding the Problem

The rectangular field has dimensions of 90 meters by 70 meters. The man walks around the field at a rate of 4 km per hour. To calculate the time it takes for him to make 5 rounds, we need to first calculate the perimeter of the field.

Calculating the Perimeter

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is:

Perimeter = 2(Length + Width) Perimeter = 2(90 + 70) Perimeter = 2(160) Perimeter = 320 meters

Converting the Rate to Meters per Hour

The man walks at a rate of 4 km per hour. To convert this rate to meters per hour, we need to multiply it by 1000 (since 1 km = 1000 meters).

Rate = 4 km/h x 1000 m/km Rate = 4000 m/h

Calculating the Time to Walk Around the Field

To calculate the time it takes for the man to walk around the field, we need to divide the perimeter by the rate.

Time = Perimeter / Rate Time = 320 m / 4000 m/h Time = 0.08 hours

Converting the Time to Minutes

To convert the time from hours to minutes, we need to multiply it by 60.

Time (minutes) = 0.08 hours x 60 minutes/hour Time (minutes) = 4.8 minutes

Calculating the Time to Make 5 Rounds

To calculate the time it takes for the man to make 5 rounds around the field, we need to multiply the time it takes to walk around the field by 5.

Time (5 rounds) = Time (1 round) x 5 Time (5 rounds) = 4.8 minutes x 5 Time (5 rounds) = 24 minutes

Conclusion

In this article, we calculated the time it takes for a man to walk around a rectangular field at a rate of 4 km per hour. We first calculated the perimeter of the field, then converted the rate to meters per hour, and finally calculated the time it takes to walk around the field. We then multiplied the time by 5 to calculate the time it takes to make 5 rounds around the field.

Key Takeaways

The perimeter of a rectangle is calculated by adding the lengths of all four sides.
To convert a rate from kilometers per hour to meters per hour, multiply it by 1000.
To calculate the time it takes to walk around a field, divide the perimeter by the rate.
To convert time from hours to minutes, multiply it by 60.

Real-World Applications

This problem has real-world applications in various fields such as:

Surveying: Calculating the perimeter of a field is essential in surveying to determine the area of the field.
Engineering: Calculating the time it takes to walk around a field is essential in engineering to determine the time it takes to complete a task.
Sports: Calculating the time it takes to walk around a field is essential in sports to determine the time it takes to complete a lap.

Frequently Asked Questions

Q: What is the perimeter of a rectangle?

A: The perimeter of a rectangle is calculated by adding the lengths of all four sides.

Q: How do I convert a rate from kilometers per hour to meters per hour?

A: To convert a rate from kilometers per hour to meters per hour, multiply it by 1000.

Q: How do I calculate the time it takes to walk around a field?

A: To calculate the time it takes to walk around a field, divide the perimeter by the rate.

Q: How do I convert time from hours to minutes?

Q: What is the perimeter of a rectangle?

A: The perimeter of a rectangle is calculated by adding the lengths of all four sides. In the case of a rectangle with dimensions 90 meters by 70 meters, the perimeter is:

Perimeter = 2(Length + Width) Perimeter = 2(90 + 70) Perimeter = 2(160) Perimeter = 320 meters

Q: How do I convert a rate from kilometers per hour to meters per hour?

A: To convert a rate from kilometers per hour to meters per hour, multiply it by 1000. For example, if the rate is 4 km/h, the equivalent rate in meters per hour is:

Rate = 4 km/h x 1000 m/km Rate = 4000 m/h

Q: How do I calculate the time it takes to walk around a field?

A: To calculate the time it takes to walk around a field, divide the perimeter by the rate. For example, if the perimeter is 320 meters and the rate is 4000 m/h, the time it takes to walk around the field is:

Time = Perimeter / Rate Time = 320 m / 4000 m/h Time = 0.08 hours

Q: How do I convert time from hours to minutes?

A: To convert time from hours to minutes, multiply it by 60. For example, if the time is 0.08 hours, the equivalent time in minutes is:

Time (minutes) = 0.08 hours x 60 minutes/hour Time (minutes) = 4.8 minutes

Q: What is the formula for calculating the perimeter of a rectangle?

A: The formula for calculating the perimeter of a rectangle is:

Perimeter = 2(Length + Width)

Q: How do I calculate the area of a rectangle?

A: To calculate the area of a rectangle, multiply the length by the width. For example, if the length is 90 meters and the width is 70 meters, the area is:

Area = Length x Width Area = 90 m x 70 m Area = 6300 square meters

Q: What is the difference between perimeter and area?

A: The perimeter of a rectangle is the distance around the outside of the rectangle, while the area is the amount of space inside the rectangle.

Q: How do I calculate the time it takes to make multiple rounds around a field?

A: To calculate the time it takes to make multiple rounds around a field, multiply the time it takes to make one round by the number of rounds. For example, if it takes 4.8 minutes to make one round, it will take:

Time (5 rounds) = Time (1 round) x 5 Time (5 rounds) = 4.8 minutes x 5 Time (5 rounds) = 24 minutes

Q: What is the formula for calculating the time it takes to make multiple rounds around a field?

A: The formula for calculating the time it takes to make multiple rounds around a field is:

Time (n rounds) = Time (1 round) x n

Q: How do I apply these formulas in real-world scenarios?

A: These formulas can be applied in various real-world scenarios, such as:

Surveying: Calculating the perimeter of a field is essential in surveying to determine the area of the field.
Engineering: Calculating the time it takes to walk around a field is essential in engineering to determine the time it takes to complete a task.
Sports: Calculating the time it takes to walk around a field is essential in sports to determine the time it takes to complete a lap.

Conclusion

In this article, we have answered frequently asked questions related to calculating the perimeter of a rectangle, converting rates, calculating time, and applying these formulas in real-world scenarios. We hope this article has provided you with a better understanding of these concepts and how to apply them in various situations.