Jen is riding her bicycle on a trail at the rate of 0.32 kilometer per minute. Michelle is 8 kilometers behind Jen when she starts traveling on the same trail at a rate of 0.42 kilometer per minute. Let d represent the distance in kilometers the bicyclists are from the start of the trail and t represent the time in minutes. The system of equations lbrace
d = 0.32t + 8
d = 0.42t can be used to represent this situation.

How many minutes will it take Michelle to catch up to Jen? How far will they be from the start of the trail? Use the substitution method to solve this real-world application.

Michelle will catch up to Jen in
minutes and they will be
km from the start of the trail.