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?
Answer:
Autumn's average speed is 1.3158 mph
Summer's average speed is 11.1843 mph
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