Two women A and B start their morning run from the same point. A runs 3km North, then turns West and runs 2km, then turns to her right and runs 5.5km. B runs 4km West then turns to her right and runs 8.5km. Where is B with respect to A now?

Let's trace the paths step-by-step from a common starting point (0,0):
Path of A:

Starts at (0,0), goes 3km North →(0,3)

Turns West and runs 2km →(−2,3)

Turns right (North) and runs 5.5km →(−2,3+5.5)=(−2,8.5)

Final position of A = (−2,8.5)

Path of B:

Starts at (0,0), goes 4km West →(−4,0)

Turns right (North) and runs 8.5km →(−4,8.5)

Final position of B = (−4,8.5)

Relative Position:
Both are on the same latitude (Y-coordinate = 8.5).
Comparing their X-coordinates:

Distance=X
A
​
−X
B
​
=−2−(−4)=2km
Since B's coordinate is −4 and A's is −2, B is 2km to the West of A.