Question

A car travels 1/8 mile in 2/13 minutes. What is its speed in terms of miles per minute?
1/52 mi/min
1/4mi/min
1/13 mi/min
13/16 mi/min

Answer 1

To find the speed of the car in miles per minute, we can use the formula for speed, which is:

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

Given that the distance is \( \frac{1}{8} \) miles and the time is \( \frac{2}{13} \) minutes, we can substitute these values into the formula:

\[
\text{Speed} = \frac{\frac{1}{8}}{\frac{2}{13}}
\]

To divide by a fraction, we multiply by its reciprocal:

\[
\text{Speed} = \frac{1}{8} \times \frac{13}{2}
\]

Now, we multiply the fractions:

\[
\text{Speed} = \frac{1 \times 13}{8 \times 2} = \frac{13}{16} \text{ miles per minute}
\]

Thus, the speed of the car is \( \frac{13}{16} \) miles per minute.

The correct choice from the options presented is:

**13/16 mi/min**