Question

An athlete runs 8 miles in 50 minutes on a treadmill. At this rate, how long will it take the athlete to run 9 miles? *

Answer 1

Answer:

50 minutes = 50/60 hours = 0.8333333333 hours

8 miles / 0.8333333333 hours = 9.60 miles per hour

9 miles / 9.60 miles per hour =

0.9375 hours = 56.25 minutes

Step-by-step explanation:

Answer 2

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.