I have to show my work. Wyatt hiked 6 miles in 2 hours. At this same rate, what is the total number of miles Wyatt could hike in 9 hours? a) 3, b) 7, c) 21, d) 21

If he hikes 6 miles in 2 hours, his speed is ...

6/2 miles/hr

6/2 reduces to 3/1 so he is traveling 3 miles/hr.

To find how far he goes in 9 hours, multiply speed * time ...

9 hours * 3 miles/hour =

27 miles

The correct answer is not listed among the choices.

The rate is (6 mi) / (2 hr) = 3 mi/hr.

9 hours at this same rate: (3 mi/hr) x (9 hr) = 27 miles.