Answer:
It would take 56 minutes for the athlete to run 9 miles.
Step-by-step explanation:
If an athlete runs 8 miles in 50 minutes, he is doing that in 5/6 or 0.83 of an hour. Therefore, using crossed multiplication, we can know the speed in miles per hour in which he was running:
0.83 = 8
1 = X
8 x 1 / 0.83 = 9.63
As he ran at 9.63 miles/h, we can use another crossed multiplication to know how much time would take him to run 9 miles:
9.63 = 1
9 = X
9 x 1 / 9.63 = 0.934/1 of an hour
0.934 x 60 = 56
It would take 56 minutes for the athlete to run 9 miles.