Question

1. create a problem where the answers are... distance = 30 km displacement = 10 km south

Explanation:

Step1: Recall distance and displacement concepts

Distance is total path length, displacement is straight - line distance with direction from start to end.

Step2: Design the problem

A person walks 20 km south, then 10 km north. What is the distance traveled and the displacement?
For distance:
The person walks 20 km and then 10 km. The total path length (distance) is the sum of these two lengths. So, $d = 20+10=30$ km.
For displacement:
The person moves 20 km south and then 10 km north. The net movement in the south - direction is $20 - 10=10$ km south.

Answer:

A person walks 20 km south, then 10 km north. The distance is 30 km and the displacement is 10 km South.