You and your friend like 12 miles apart. You leave home at the same time and travel towards each other. You walk at a rate of 4 miles per hour and your friend bicycles at a rate of 11 miles per hour. How long after you leave home will you meet? How far from home will each of you be? Suppose your friend bicycles at a rate of 12 miles per hour. How much sooner will you meet? How far from home will you be?