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

Let's trace the path of both runners starting from a common origin point (0,0):
Path of Runner A:

Starts at origin (0,0).

Runs 3 km North → reaching position (0,3).

Turns West and runs 2 km → reaching position (−2,3).

Turns right (which is North) and runs 5.5 km → reaching final position (−2,3+5.5)=(−2,8.5).

Path of Runner B:

Starts at origin (0,0).

Runs 4 km West → reaching position (−4,0).

Turns right (which is North) and runs 8.5 km → reaching final position (−4,8.5).

Relative Position Analysis:

Final position of A = (−2,8.5)

Final position of B = (−4,8.5)

Both are at the same horizontal latitude line (8.5 km North). Comparing their horizontal coordinates:

Distance between B and A=−2−(−4)=2 km
Since B is at −4 and A is at −2, B is located exactly 2 km to the West of A.