Question

Albert walks 4/5 of a mile in 5 /12 of an hour. What was his average speed in miles per hour?

Answer 1

To find Albert's average speed in miles per hour, we can use the formula:

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

In this case, the distance Albert walks is \( \frac{4}{5} \) miles and the time taken is \( \frac{5}{12} \) hours.

First, we will plug in the values into the formula:

\[
\text{Speed} = \frac{\frac{4}{5}}{\frac{5}{12}}
\]

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

\[
\text{Speed} = \frac{4}{5} \times \frac{12}{5}
\]

Now, we can multiply the numerators and the denominators:

\[
\text{Speed} = \frac{4 \times 12}{5 \times 5} = \frac{48}{25}
\]

Next, we can convert \( \frac{48}{25} \) into a mixed number or a decimal if needed.

To convert \( \frac{48}{25} \) to a decimal:

\[
\frac{48}{25} = 1.92
\]

Thus, Albert's average speed is:

\[
\boxed{1.92} \text{ miles per hour.}
\]