olve this multi-step problem. A runner completes 14 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?(1 point)

Responses

160 miles
160 miles

212 miles
2 Start Fraction 1 over 2 End Fraction miles

110 mile
Start Fraction 1 over 10 End Fraction mile

18 mile

The runner completes 14 miles of a 5-mile race every 8 minutes.

To find how many miles the runner can go in 16 minutes, we can set up a proportion:

14 miles/8 minutes = x miles/16 minutes

Cross-multiplying, we get:

8x = 14 * 16

8x = 224

Dividing both sides by 8, we find:

x = 28

Therefore, the runner can go 28 miles in 16 minutes.

the choices are 160 miles 2 1/2 miles 1/10 miles and 1/8 miles

To solve this problem, we can use a proportion.

The runner completes 14 miles of a 5-mile race every 8 minutes. We want to find out how far the runner can go in 16 minutes.

Let's set up the proportion:

14 miles / 8 minutes = x miles / 16 minutes

Cross-multiplying:

8x = 14 * 16

8x = 224

Dividing both sides by 8:

x = 28

Therefore, at the same pace, the runner can go 28 miles in 16 minutes.

Based on the given choices, the closest option is 28 miles.

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

First, let's find the distance the runner covers in 1 minute:
14 miles / 8 minutes = 1.75 miles per minute

Now, we can set up a proportion to find the distance the runner can go in 16 minutes:
1.75 miles/minute = x miles/16 minutes

To solve for x, we cross multiply:
1.75 * 16 = x

x = 28 miles

Therefore, the runner can go 28 miles in 16 minutes.