Final answer:
The woman's distance traveled is 400 m and her displacement is 400 m [north].
Step-by-step explanation:
To calculate the woman's distance traveled, we add up the distances covered during each activity: running 100 m + walking 200 m + running 100 m = 400 m.
To calculate the woman's displacement, we need to consider the direction of each activity. The direction is north for all activities, so the total displacement is the sum of the distances in the north direction: 100 m + 200 m + 100 m = 400 m [north].