Question

Javier jogs
3
4
of a mile in
8
1
2
minutes.

If he keeps the same pace, how many minutes will it take him to jog
1
mile?

Answer 1

To find out how many minutes it will take Javier to jog 1 mile, we first need to determine his pace in minutes per mile based on the information provided.

Javier jogs \( \frac{3}{4} \) of a mile in \( 8 \frac{1}{2} \) minutes.

First, convert \( 8 \frac{1}{2} \) to an improper fraction or a decimal:
\[
8 \frac{1}{2} = 8 + \frac{1}{2} = 8.5 \text{ minutes}
\]

Now, we know that he jogs \( \frac{3}{4} \) mile in \( 8.5 \) minutes. To find out how many minutes it takes to jog 1 mile, we can set up a proportion:

\[
\text{Time for 1 mile} = \frac{8.5 \text{ minutes}}{\frac{3}{4} \text{ miles}} \times 1 \text{ mile}
\]

Calculating this gives:
\[
\text{Time for 1 mile} = 8.5 \div \frac{3}{4} = 8.5 \times \frac{4}{3} = \frac{8.5 \times 4}{3}
\]

Now, calculating \( 8.5 \times 4 \):
\[
8.5 \times 4 = 34
\]

Now divide by 3:
\[
\frac{34}{3} \approx 11.33 \text{ minutes}
\]

Therefore, it will take Javier approximately \( 11.33 \) minutes, or \( 11 \frac{1}{3} \) minutes, to jog 1 mile at the same pace.