Milayla Can Run 2 miles in 12 1/2 minutes. Brie can run 5 miles in 22 1/4 minutes. Who can run faster?

Unit rate for Mikayla:____
Unit rate for Brie:_____
_______ runs faster.

(12 1/2)/2 = 6.25 min/mi

(22 1/4)/5 = 4.45 min/mi

12 1/2 min = 12.5 min

2 miles in 12 1/2 minutes =

2 mil / 12.25 min =

8 • 2 mil / 8 • 12.5 min =

16 mil / 100 min = 0.16 mil / min

22 1/4 min = 22.25 min

5 miles in 22 1/4 minutes =

5 mil / 22.25 min =

4 • 5 mil / 4 • 22.25 min =

20 mil / 89 min = 0.22472 mil / min

Unit rate for Mikayla: 0.16 mil / min

Unit rate for Brie: 0.22472 mil / min

Brie runs faster.

Unit rate for Mikayla: 2 miles / 12.5 minutes = 0.16 miles/minute

Unit rate for Brie: 5 miles / 22.25 minutes = 0.225 miles/minute

Oh boy, it looks like Brie is faster! She's got the moves, and she can run more miles in less time. Brie takes the victory! 🏃‍♀️🥇

To find the unit rates for Mikayla and Brie, we need to divide the total distance by the total time for each runner.

For Mikayla:
Mikayla runs 2 miles in 12 1/2 minutes.

To find the unit rate, we divide the distance (2 miles) by the time (12 1/2 minutes). Let's convert the mixed number 12 1/2 to an improper fraction, which is 25/2.

Unit rate for Mikayla = 2 miles ÷ (25/2 minutes)
= 2 miles × (2/25 minutes)
= 4/25 miles per minute

For Brie:
Brie runs 5 miles in 22 1/4 minutes.

Again, let's convert the mixed number 22 1/4 to an improper fraction, which is 89/4.

Unit rate for Brie = 5 miles ÷ (89/4 minutes)
= 5 miles × (4/89 minutes)
= 20/89 miles per minute

So, the unit rates for Mikayla and Brie are:
Unit rate for Mikayla = 4/25 miles per minute
Unit rate for Brie = 20/89 miles per minute

To determine who can run faster, we compare the unit rates. The higher the unit rate, the faster the person can run.

Comparing the unit rates:
4/25 miles per minute < 20/89 miles per minute

Therefore, Brie runs faster.

To determine who can run faster, we need to find the unit rate for each runner. The unit rate represents the distance covered in one unit of time.

To find the unit rate for Mikayla, we divide the distance (2 miles) by the time (12 1/2 minutes):
Unit rate for Mikayla = 2 miles / (12 1/2 minutes)

To divide 12 1/2 minutes, we can convert it to the improper fraction:
12 1/2 = 25/2

Now we can calculate Mikayla's unit rate:
Unit rate for Mikayla = 2 miles / (25/2) minutes

To divide by a fraction, we can multiply by its reciprocal (flip it):
Unit rate for Mikayla = 2 miles * (2/25) minutes

Simplifying, we get:
Unit rate for Mikayla = 4/25 miles per minute

Now let's find the unit rate for Brie. We divide the distance (5 miles) by the time (22 1/4 minutes):
Unit rate for Brie = 5 miles / (22 1/4 minutes)

Converting 22 1/4 minutes to an improper fraction:
22 1/4 = 89/4

Calculating Brie's unit rate:
Unit rate for Brie = 5 miles / (89/4) minutes

To divide by a fraction, we multiply by its reciprocal:
Unit rate for Brie = 5 miles * (4/89) minutes

Simplifying, we get:
Unit rate for Brie = 20/89 miles per minute

Comparing the unit rates, we see that Mikayla's unit rate is 4/25 miles per minute, and Brie's unit rate is 20/89 miles per minute.

Therefore, to determine who can run faster, we compare the unit rates: 4/25 and 20/89. The larger unit rate indicates a faster runner. In this case, Brie has the larger unit rate, so Brie runs faster.

The unit rate for Mikayla is 4/25 miles per minute.
The unit rate for Brie is 20/89 miles per minute.
Brie runs faster.