An athlete runs 8 miles in 50 minutes on a treadmill. at this rate:

a. how long will it take the athlete to run 9 miles?

b. how far can the athlete run in 1 hour?

a 56.25 minutes

b  9.6 miles

Step-by-step explanation:

To find the rate, we take the miles and divide by the minutes

rate = 8 miles / 50 minutes

       .16 miles per minute

A.  how long to run 9 miles

We want to use the formula

d =rt where d is the distance, rate is the rate and t is the time

9 = .16 *t

Divide each side by .16

9/.16 = .16/16 *t

56.25 = t

It will take 56.25 minutes

B  We have a time of 1 hour

We want to use the formula

d =rt where d is the distance, rate is the rate and t is the time

t = 1 hour, but our rate is in minutes

1 hour = 60 minutes so t = 60 minutes

d = .16 * 60

d =9.6 miles