Question

A car travels 1/4 mile in 3/4 minutes, what is its speed in terms of miles per minutes?
3/4 mi/hr
1/4 mi/hr
1/13 mi/hr
1/3 mi/hr

Answer 1

To find the speed in miles per minute, we can use the formula:

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

In this case, the car travels a distance of \( \frac{1}{4} \) mile in \( \frac{3}{4} \) minutes. Plugging these values into the formula:

\[
\text{Speed} = \frac{\frac{1}{4} \text{ miles}}{\frac{3}{4} \text{ minutes}}
\]

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

\[
\text{Speed} = \frac{1}{4} \times \frac{4}{3} = \frac{1 \times 4}{4 \times 3} = \frac{1}{3} \text{ miles per minute}
\]

Thus, the speed of the car is \( \frac{1}{3} \) miles per minute.

Now, let's compare this result to the options given:

- \( \frac{3}{4} \) mi/hr
- \( \frac{1}{4} \) mi/hr
- \( \frac{1}{13} \) mi/hr
- \( \frac{1}{3} \) mi/hr

Since \( \frac{1}{3} \) miles per minute can also be expressed in miles per hour, we can convert it:

\[
\text{Speed in mi/hr} = \frac{1}{3} \text{ miles/minute} \times 60 \text{ minutes/hour} = 20 \text{ miles/hour}
\]

However, since we are asked for speed in terms of miles per minute, the answer based on the options provided is:

\[
\boxed{\frac{1}{3} \text{ mi/hr}}
\]