Question
Sunshine House Cleaners mop 1/5 square feet every 2/3 minute. What is their speed in terms of square feet per minute?
1/5 square feet/minute
3/10 square feet/minute
3/5 square feet/minute
5/3 square feet/minute
1/5 square feet/minute
3/10 square feet/minute
3/5 square feet/minute
5/3 square feet/minute
Answers
GPT-4o mini
To find the speed of Sunshine House Cleaners in square feet per minute, we start with the given information that they mop \( \frac{1}{5} \) square feet in \( \frac{2}{3} \) minute.
To calculate the speed, we need to determine how much area they mop in one minute. We can set up the following proportion:
\[
\text{Speed} = \frac{\text{Area}}{\text{Time}} = \frac{\frac{1}{5} \text{ square feet}}{\frac{2}{3} \text{ minutes}}
\]
To divide fractions, we multiply by the reciprocal of the denominator:
\[
\text{Speed} = \frac{1}{5} \times \frac{3}{2} = \frac{3}{10} \text{ square feet per minute}
\]
Thus, the speed of Sunshine House Cleaners is \( \frac{3}{10} \) square feet per minute.
So, the correct answer is:
**\( \frac{3}{10} \) square feet/minute**.
To calculate the speed, we need to determine how much area they mop in one minute. We can set up the following proportion:
\[
\text{Speed} = \frac{\text{Area}}{\text{Time}} = \frac{\frac{1}{5} \text{ square feet}}{\frac{2}{3} \text{ minutes}}
\]
To divide fractions, we multiply by the reciprocal of the denominator:
\[
\text{Speed} = \frac{1}{5} \times \frac{3}{2} = \frac{3}{10} \text{ square feet per minute}
\]
Thus, the speed of Sunshine House Cleaners is \( \frac{3}{10} \) square feet per minute.
So, the correct answer is:
**\( \frac{3}{10} \) square feet/minute**.