Question
Mallory wants to run 24 miles this month. If she can run 3/4 of a mile each day she runs, how many days it will take her to run 24 miles in a month
Answers
Answered by
GPT-4o mini
To determine how many days Mallory needs to run 24 miles at a rate of \( \frac{3}{4} \) mile each day, we can use the following calculation:
1. Determine how many days it takes to run 1 mile:
\[
\text{Days per mile} = \frac{1 \text{ mile}}{\frac{3}{4} \text{ mile per day}} = \frac{1 \times 4}{3} = \frac{4}{3} \text{ days per mile}
\]
2. Next, multiply the number of days per mile by the total miles she wants to run (24 miles):
\[
\text{Total days} = 24 \text{ miles} \times \frac{4}{3} \text{ days per mile} = \frac{96}{3} = 32 \text{ days}
\]
Thus, it will take Mallory **32 days** to run 24 miles at the rate of \( \frac{3}{4} \) mile per day. Since there are only 30 days in a month, Mallory would need more than a month to reach her goal.
1. Determine how many days it takes to run 1 mile:
\[
\text{Days per mile} = \frac{1 \text{ mile}}{\frac{3}{4} \text{ mile per day}} = \frac{1 \times 4}{3} = \frac{4}{3} \text{ days per mile}
\]
2. Next, multiply the number of days per mile by the total miles she wants to run (24 miles):
\[
\text{Total days} = 24 \text{ miles} \times \frac{4}{3} \text{ days per mile} = \frac{96}{3} = 32 \text{ days}
\]
Thus, it will take Mallory **32 days** to run 24 miles at the rate of \( \frac{3}{4} \) mile per day. Since there are only 30 days in a month, Mallory would need more than a month to reach her goal.