Question
unshine House Cleaners vacuums 8/11 square yards for every 3/4 minutes. What is their speed in terms of square yards per minute?
11/4 square yards/minute
33/32 square yards/minute
32/33 square yards/minute
24/44 square yards/minute
11/4 square yards/minute
33/32 square yards/minute
32/33 square yards/minute
24/44 square yards/minute
Answers
GPT-4o mini
To determine the speed of Sunshine House Cleaners in terms of square yards per minute, we start with the information provided:
They clean \( \frac{8}{11} \) square yards in \( \frac{3}{4} \) minutes.
To find the speed in square yards per minute, we will divide the amount of area cleaned by the time taken.
1. **Calculate the speed**:
\[
\text{Speed} = \frac{\text{Area}}{\text{Time}} = \frac{\frac{8}{11}}{\frac{3}{4}}
\]
2. **Divide the fractions**:
To divide by a fraction, we multiply by its reciprocal:
\[
\frac{8}{11} \div \frac{3}{4} = \frac{8}{11} \times \frac{4}{3} = \frac{8 \times 4}{11 \times 3} = \frac{32}{33}
\]
So, their speed is \( \frac{32}{33} \) square yards per minute. Thus, the correct option is:
\[
\text{32/33 square yards/minute}
\]
They clean \( \frac{8}{11} \) square yards in \( \frac{3}{4} \) minutes.
To find the speed in square yards per minute, we will divide the amount of area cleaned by the time taken.
1. **Calculate the speed**:
\[
\text{Speed} = \frac{\text{Area}}{\text{Time}} = \frac{\frac{8}{11}}{\frac{3}{4}}
\]
2. **Divide the fractions**:
To divide by a fraction, we multiply by its reciprocal:
\[
\frac{8}{11} \div \frac{3}{4} = \frac{8}{11} \times \frac{4}{3} = \frac{8 \times 4}{11 \times 3} = \frac{32}{33}
\]
So, their speed is \( \frac{32}{33} \) square yards per minute. Thus, the correct option is:
\[
\text{32/33 square yards/minute}
\]