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

1 answer

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:

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

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