A runner completes 1/4 of a 5-mile race every 8 minutes at the same page how far can the runner go in 16 minutes a 1/8 MI b 2 1/2 MI see 160 MI d110th mile

1 answer

To determine how far the runner can go in 16 minutes, we first need to calculate the runner's pace based on the initial information provided.

The runner completes \( \frac{1}{4} \) of a 5-mile race in 8 minutes. The total distance of the race is 5 miles, so:

\[ \frac{1}{4} \text{ of 5 miles} = \frac{5}{4} \text{ miles} = 1.25 \text{ miles} \]

Since it takes 8 minutes to run 1.25 miles, we can find out how many miles the runner covers in 1 minute:

\[ \text{Miles per minute} = \frac{1.25 \text{ miles}}{8 \text{ minutes}} = 0.15625 \text{ miles per minute} \]

Now, to find out how far the runner can go in 16 minutes:

\[ \text{Distance in 16 minutes} = 0.15625 \text{ miles per minute} \times 16 \text{ minutes} = 2.5 \text{ miles} \]

Thus, the runner can go 2.5 miles in 16 minutes.

Therefore, the correct answer is \( \text{b) 2 1/2 miles} \).