You walk at a pace of 3 miles per hour, and jog at a pace of 6 miles per hour. You want to cover a distance of more than 18 miles in less than 5 hours.

Question

You walk at a pace of 3 miles per hour, and jog at a pace of 6 miles per hour. You want to cover a distance of more than  18 miles in less than 5 hours. 
Write a system of inequalities to represent the situation. What is one possible combination of the number of hours you can walk/ jog to achieve your goal?

Scott · Answer

w + j > 18 w/3 + j/6 < 5 ... 2w + j < 30 walk 1 hr, jog 3 hr