Question

jessica is a custodian at oracle arena. she waxes $20\\ \text{m}^2$ 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?
enter an exact answer, without rounding.

\boxed{\\ \\ }\\ \text{m}^2

Explanation:

Step1: Identify the rate formula

The rate (square meters per hour) is calculated by dividing the area waxed by the time taken. So, rate \( r = \frac{\text{Area}}{\text{Time}} \).

Step2: Substitute the given values

We know the area is \( 20 \, m^2 \) and the time is \( \frac{3}{5} \) hour. So, \( r = \frac{20}{\frac{3}{5}} \).

Step3: Simplify the division

Dividing by a fraction is the same as multiplying by its reciprocal. So, \( \frac{20}{\frac{3}{5}} = 20\times\frac{5}{3} \).

Step4: Calculate the product

\( 20\times\frac{5}{3} = \frac{100}{3} \).

Answer:

\(\frac{100}{3}\)