Mallory wants to run 24 miles this month. If she can run 3/4

Question

of a mile each day she runs, how many days will it take her to run those 24 miles

Answer 1

To find out how many days it will take Mallory to run 24 miles at a rate of \( \frac{3}{4} \) of a mile per day, we can use the formula:

\[ \text{Number of days} = \frac{\text{Total miles}}{\text{Miles per day}} \]

In this case, we have:

\[ \text{Total miles} = 24 \text{ miles} \] \[ \text{Miles per day} = \frac{3}{4} \text{ miles} \]

Now, substituting these values into the formula:

\[ \text{Number of days} = \frac{24}{\frac{3}{4}} \]

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

\[ \text{Number of days} = 24 \times \frac{4}{3} \]

Calculating this:

\[ \text{Number of days} = \frac{24 \times 4}{3} = \frac{96}{3} = 32 \]

Thus, it will take Mallory 32 days to run 24 miles at a rate of \( \frac{3}{4} \) of a mile per day.