Him wants to run 1800 miles this year, and he plans to run at least 6 miles per day. If Jim has already run 720 miles so far this year, what is the maximum number of days that it will take him to run the remaining miles?

1800-720=1080

He has 1080 miles left, he'll run 6 days per day so 1080/6=180

He won't need more than 180 days

Step-by-step explanation:

Write and solve an inequality for d, the # of days:

720 mi + (6 mi / day) d ≥ 1800 mi. Then:

(6 mi/day) d ≥ 1800 mi - 720 mi, or (6 mi/day) d ≥ 1080 mi.

Solving for d, we get 1080/6 days: 180 days. If he runs 6 miles per day for 180 days, he will have covered 1800 miles. His running more days will, of course, increase the total number of miles covered.