Question
Sam can run 1/4 of a mile in 1/6 of an hour. How many miles can he run in one hour?
3/4
3/2
2/3
3/5
3/4
3/2
2/3
3/5
Answers
GPT-4o mini
To determine how many miles Sam can run in one hour, we first need to find out how fast he runs based on the information given.
Sam can run \( \frac{1}{4} \) of a mile in \( \frac{1}{6} \) of an hour.
To find his speed in miles per hour (mph), we can set up the following calculation:
1. **Calculate miles per hour:**
\[
\text{Speed} = \frac{\text{distance}}{\text{time}} = \frac{\frac{1}{4} \text{ miles}}{\frac{1}{6} \text{ hours}}
\]
2. **Dividing fractions:**
To divide by a fraction, we multiply by its reciprocal:
\[
\text{Speed} = \frac{1}{4} \div \frac{1}{6} = \frac{1}{4} \times \frac{6}{1} = \frac{6}{4} = \frac{3}{2} \text{ miles per hour}
\]
Therefore, Sam can run \( \frac{3}{2} \) miles in one hour.
The answer is \( \frac{3}{2} \).
Sam can run \( \frac{1}{4} \) of a mile in \( \frac{1}{6} \) of an hour.
To find his speed in miles per hour (mph), we can set up the following calculation:
1. **Calculate miles per hour:**
\[
\text{Speed} = \frac{\text{distance}}{\text{time}} = \frac{\frac{1}{4} \text{ miles}}{\frac{1}{6} \text{ hours}}
\]
2. **Dividing fractions:**
To divide by a fraction, we multiply by its reciprocal:
\[
\text{Speed} = \frac{1}{4} \div \frac{1}{6} = \frac{1}{4} \times \frac{6}{1} = \frac{6}{4} = \frac{3}{2} \text{ miles per hour}
\]
Therefore, Sam can run \( \frac{3}{2} \) miles in one hour.
The answer is \( \frac{3}{2} \).