Summer and Autumn are friends who live 25 miles apart and they are training for a long race. On wednesday after school, they ran toward each other’s houses to meet up. They left their houses at 4pm and met at 6 pm. Summer ran an average rate of 8 1/2 miles per hour

Complete question is;

Summer and Autumn are friends who live 25 miles apart and they are training for a long race. On wednesday after school, they ran toward each other’s houses to meet up. They left their houses at 4pm and met at 6 pm. Summer ran an average rate of 8 ½ miles per hour faster than autumn. What is the average speed of each?

Autumn's average speed is 1.3158 mph

Summer's average speed is 11.1843 mph

Step-by-step explanation:

We are told that they live 25 miles from each other.

They left their houses at 4pm and met at 6 pm. This means they met 2 hours later.

Now, summer ran 8.5 mph faster than autumn.

This means if autumn's speed is "x", then summer ran 8.5x mph

Thus, total distance covered by summer is; d_summer = 8.5x * 2 = 17x

Total distance by autumn is; x * 2 = 2x

Since their houses are 25 miles apart.

Thus;

17x + 2x = 25

19x = 25

x = 25/19

x = 1.3158 mph

Thus, autumn's speed is 1.3158 mph

Summer's speed is 1.3158 × 8.5 = 11.1843 mph

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)