Tyler starts walking at 2 miles per hour. An hour later, Nadine starts jogging along same route at 6 miles per hour. How long will it take Nadine to catch up with Tyler?

Let t = the time it takes for Nadine to catch up

Distance Tyler goes in time t is

D = 2 +2t

Distance Nadine goes in time t is

D = 6t

Since the distance each goes is the same

6t = 2 + 2t

4t = 2

t = ½ hour