Jessica Is A Custodian At Oracle Arena. She Waxes $20 \, M^2$ Of The Floor In $\frac{3}{5}$ Of An Hour. Jessica Waxes The Floor At A Constant Rate.At This Rate, How Many Square Meters Can She Wax Per Hour?$\square \, M^2$
Introduction
As a custodian at Oracle Arena, Jessica is responsible for maintaining the cleanliness and appearance of the venue's floors. One of her tasks involves waxing the floor to create a smooth and shiny surface. In this article, we will calculate Jessica's floor waxing rate at Oracle Arena, which will help us understand how much area she can cover in a given time.
Understanding the Problem
Jessica waxes $20 , m^2$ of the floor in $\frac{3}{5}$ of an hour. To find out how many square meters she can wax per hour, we need to determine her rate of work. We can use the formula:
Rate = Work / Time
Calculating Jessica's Rate
We know that Jessica waxes $20 , m^2$ of the floor in $\frac{3}{5}$ of an hour. To find her rate, we can plug in the values into the formula:
Rate = Work / Time = $20 , m^2$ / ($\frac{3}{5}$ hour) = $20 , m^2$ / ($\frac{3}{5}$) = $20 , m^2$ × ($\frac{5}{3}$) = $\frac{100}{3} , m^2$ / hour
Simplifying the Rate
To simplify the rate, we can divide the numerator and denominator by their greatest common divisor, which is 1. Therefore, the simplified rate is:
Rate = $\frac{100}{3} , m^2$ / hour
Converting the Rate to a Decimal
To make the rate easier to understand, we can convert it to a decimal by dividing the numerator by the denominator:
Rate ≈ 33.33 $, m^2$ / hour
Conclusion
In conclusion, Jessica can wax approximately 33.33 square meters of the floor per hour at Oracle Arena. This rate will help her complete her tasks efficiently and effectively, ensuring that the venue's floors are always clean and well-maintained.
Jessica's Floor Waxing Rate: A Real-World Application
Jessica's floor waxing rate has practical implications for her work at Oracle Arena. By understanding her rate of work, she can:
- Plan her tasks more effectively, ensuring that she completes her work within the allotted time.
- Estimate the time required to complete a specific task, such as waxing a large area of the floor.
- Adjust her work schedule as needed to accommodate changes in her workload or unexpected delays.
Real-World Applications of Rate Calculations
Rate calculations, like the one we performed for Jessica's floor waxing rate, have numerous real-world applications. Some examples include:
- Construction: Calculating the rate of work for construction projects, such as building a house or a bridge.
- Manufacturing: Determining the rate of production for a factory, such as the number of units produced per hour.
- Transportation: Calculating the rate of travel for vehicles, such as the speed of a car or a plane.
Conclusion
Introduction
In our previous article, we calculated Jessica's floor waxing rate at Oracle Arena. In this article, we will answer some frequently asked questions (FAQs) related to her rate of work. Whether you're a student, a professional, or simply someone interested in math, this Q&A guide will help you understand the concept of rate calculations and their real-world applications.
Q: What is rate, and why is it important?
A: Rate is a measure of how much work is done in a given time. It's an essential concept in various fields, including construction, manufacturing, and transportation. Understanding rate calculations can help you plan your work more effectively, estimate the time required to complete a task, and make informed decisions.
Q: How do I calculate rate?
A: To calculate rate, you need to divide the work done by the time taken. The formula is:
Rate = Work / Time
For example, if Jessica waxes 20 square meters of the floor in 3/5 of an hour, her rate would be:
Rate = 20 m^2 / (3/5) hour = 20 m^2 × (5/3) = 100/3 m^2 / hour
Q: What if I have a decimal rate? How do I convert it to a fraction?
A: If you have a decimal rate, you can convert it to a fraction by writing the decimal as a fraction. For example, if Jessica's rate is approximately 33.33 m^2 / hour, you can write it as:
Rate ≈ 100/3 m^2 / hour
Q: How do I apply rate calculations in real-world scenarios?
A: Rate calculations have numerous real-world applications. Here are a few examples:
- Construction: Calculate the rate of work for construction projects, such as building a house or a bridge.
- Manufacturing: Determine the rate of production for a factory, such as the number of units produced per hour.
- Transportation: Calculate the rate of travel for vehicles, such as the speed of a car or a plane.
Q: What are some common mistakes to avoid when calculating rate?
A: Here are some common mistakes to avoid when calculating rate:
- Not converting decimals to fractions: Make sure to convert decimal rates to fractions to avoid errors.
- Not using the correct formula: Use the formula Rate = Work / Time to calculate rate.
- Not considering units: Make sure to consider the units of work and time when calculating rate.
Q: How can I practice rate calculations?
A: Here are some ways to practice rate calculations:
- Use online calculators: Use online calculators to practice rate calculations.
- Work on real-world problems: Apply rate calculations to real-world problems, such as construction or manufacturing projects.
- Create your own problems: Create your own problems to practice rate calculations.
Conclusion
In conclusion, rate calculations are essential in various fields, including construction, manufacturing, and transportation. By understanding how to calculate rates, you can make informed decisions, plan your work more effectively, and estimate the time required to complete a task. We hope this Q&A guide has helped you understand the concept of rate calculations and their real-world applications.