Solve this multi-step problem. A runner completes 1/4 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes? (1 point)

Question

Solve this multi-step problem. A runner completes 1/4 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes? (1 point)

Answer 1

Since the runner completes 1/4 of a 5-mile race every 8 minutes, in 16 minutes, the runner can complete 2/4 or 1/2 of the race.

Therefore, the runner can go a distance of 5 miles * 1/2 = <<5*1/2=2.5>>2.5 miles in 16 minutes. Answer: \boxed{2.5}.

Answer 2

Solve this multi-step problem. A runner completes 1/4 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?

Answer 3

To solve this problem, we can set up a proportion to find the distance the runner can go in 16 minutes.

Let's first find out how many 1/4 segments of the race the runner completes in 8 minutes.

Since the runner completes 1/4 of a 5-mile race every 8 minutes, we can set up the proportion:

1/4 segment / 8 minutes = x miles / 5 miles

To find x, we need to isolate it. Cross multiply:

(1/4) * (5 miles) = 8 minutes * x

Now, solve for x:

5/4 = 8x

Divide both sides by 8:

5/32 = x

So, the runner can complete 5/32 of a mile in 8 minutes.

Now that we know the runner's speed is 5/32 miles in 8 minutes, we can find out how far the runner can go in 16 minutes.

Let y represent the distance the runner can go in 16 minutes.

Using the same proportion as before:

1/4 segment / 8 minutes = y miles / 16 minutes

Cross multiply:

(1/4) * 16 minutes = 8 minutes * y

Now, solve for y:

4 = 8y

Divide both sides by 8:

1/2 = y

Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.

Answer 4

To solve this problem, we need to determine the distance that the runner can cover in 16 minutes, given that they complete 1/4 of a 5-mile race every 8 minutes.

First, we would calculate how many 8-minute intervals are in 16 minutes. Since 16 minutes divided by 8 minutes equals 2, there are 2 intervals of 8 minutes.

Next, we would calculate how much distance the runner covers in 2 intervals. Since the runner completes 1/4 of a 5-mile race every 8 minutes, they cover 1/4 * 5 = 5/4 miles in 8 minutes.

Finally, we would calculate the distance the runner can cover in 16 minutes by multiplying the distance covered in 8 minutes (5/4 miles) by the number of intervals (2).

The calculation would be:

(5/4 miles) * 2 = 10/4 = 2.5 miles

Therefore, at the same pace, the runner can cover 2.5 miles in 16 minutes.