Carol and Jan leave from the same place and travel on the same road going the same direction. Carol walks at a rate of two miles per hour. Carol left five hours earlier than Jan, but Jan bikes at a rate of six miles per hour. How far did they travel when Jan caught up to Carol? Homework Help ✎
Visualize the problem by drawing a picture of the situation and remember d = rt.
Let d represent the distance both traveled and t represent the time Jan traveled.
Equation for Carol: d = 2(t + 5) where d is the distance Carol and Jan traveled and t + 5 is the time Carol walked.
Equation for Jan: d = 6t where d is distance Carol and Jan traveled and t is time Jan biked.
Set both equations equal to each other because they traveled the same distance, just at different times.
2(t + 5) = 6t
Solve for t.