Tina runs at a rate of 8 miles per hour. At that rate, how many miles will she run in 12 minutes?

Options

A. `5/8`
B. `2/3`
C. `1 1/2`
D. `1 3/5`

Answer

To solve the problem of how far Tina will run in 12 minutes at a speed of 8 miles per hour, we can follow these steps:

### Step 1: Convert Time from Minutes to Hours
Since Tina's speed is given in miles per hour, we need to convert the time from minutes to hours.

\[ \text{Time in hours} = \frac{\text{Time in minutes}}{60} \]
\[ \text{Time in hours} = \frac{12 \text{ minutes}}{60} = \frac{1}{5} \text{ hours} \]

**Hint:** Remember that there are 60 minutes in an hour, so to convert minutes to hours, divide the number of minutes by 60.

### Step 2: Use the Formula for Distance
We know that the formula for distance is:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Substituting the values we have:

\[ \text{Distance} = 8 \text{ miles per hour} \times \frac{1}{5} \text{ hours} \]

### Step 3: Calculate the Distance
Now, we can calculate the distance:

\[ \text{Distance} = 8 \times \frac{1}{5} = \frac{8}{5} \text{ miles} \]

### Step 4: Convert the Improper Fraction to a Mixed Number
To express \(\frac{8}{5}\) as a mixed number:

\[ \frac{8}{5} = 1 \frac{3}{5} \text{ miles} \]

### Final Answer
Thus, the distance Tina will run in 12 minutes is:

\[ 1 \frac{3}{5} \text{ miles} \]

### Conclusion
According to the options given, the correct answer is option D: \(1 \frac{3}{5}\).

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