Question
A person runs 1/4 kilometers in 1/2 minutes. What is the speed of the person?
3/2 km/min
1 km/min
3/4 km/min
1/2 km/min
3/2 km/min
1 km/min
3/4 km/min
1/2 km/min
Answers
GPT-4o mini
To find the speed of the person, we can use the formula for speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
In this case, the distance is \( \frac{1}{4} \) kilometers and the time is \( \frac{1}{2} \) minutes.
Now, substituting the values into the formula:
\[
\text{Speed} = \frac{\frac{1}{4} \text{ km}}{\frac{1}{2} \text{ min}}
\]
To divide by a fraction, we multiply by the reciprocal:
\[
\text{Speed} = \frac{1}{4} \times \frac{2}{1} = \frac{1 \times 2}{4 \times 1} = \frac{2}{4} = \frac{1}{2} \text{ km/min}
\]
Thus, the speed of the person is \( \frac{1}{2} \) km/min.
The correct answer is:
**1/2 km/min**.
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
In this case, the distance is \( \frac{1}{4} \) kilometers and the time is \( \frac{1}{2} \) minutes.
Now, substituting the values into the formula:
\[
\text{Speed} = \frac{\frac{1}{4} \text{ km}}{\frac{1}{2} \text{ min}}
\]
To divide by a fraction, we multiply by the reciprocal:
\[
\text{Speed} = \frac{1}{4} \times \frac{2}{1} = \frac{1 \times 2}{4 \times 1} = \frac{2}{4} = \frac{1}{2} \text{ km/min}
\]
Thus, the speed of the person is \( \frac{1}{2} \) km/min.
The correct answer is:
**1/2 km/min**.