An office worker walks 4 km towards the East from his home to reach a taxi-stand.\nHe then takes a taxi which goes 10 km towards the South, turns right and goes a further 15 km, where he gets down and boards a bus.\nThe bus travels 2 km towards the North, then 3 km towards the West, and finally turns to its right and travels 8 km to reach the worker's office.\nWhere is this office located with respect to his home?

Introduction / Context:
This is a multi-stage direction sense problem where an office worker first walks, then travels by taxi, and finally by bus. Each leg of the journey involves different directions and distances. Our task is to determine the final position of the office with respect to his home. Even though the description is lengthy, the underlying method is the same as in simpler problems: track horizontal and vertical components of each segment and compute the net displacement.

Given Data / Assumptions:

• The worker walks 4 km East from his home to reach a taxi-stand.
• The taxi goes 10 km South, then turns right and goes 15 km further.
• At that point, the worker gets down and boards a bus.
• The bus travels 2 km North, then 3 km West, and finally turns right and travels 8 km.
• All turns described as “right” are 90 degree turns, and all segments are straight.
• We use standard orientation: from South, right is West; from West, right is North.
• We must find the office's location relative to the worker's home.

Concept / Approach:
We treat the entire journey as movement on a coordinate plane, taking the home as the origin. Each leg of the walk, taxi ride and bus ride shifts the worker's position by some amount in the East–West or North–South direction. By summing these shifts step by step, we find the final coordinates of the office relative to the home. Once we know the final x and y coordinates, we can answer the question about how far East or West and North or South the office lies from the home.

Step-by-Step Solution:
Step 1: Let the worker's home be at (0, 0). Step 2: Walking 4 km East to the taxi-stand takes him to (4, 0). Step 3: The taxi first goes 10 km South, moving him to (4, -10). Step 4: From facing South, a right turn means facing West. The taxi then travels 15 km West, bringing him to (4 − 15, -10) = (-11, -10). Step 5: He boards a bus at (-11, -10). The bus first travels 2 km North, taking him to (-11, -8). Step 6: Then the bus travels 3 km West, reaching (-14, -8). Step 7: At this point, the bus is facing West. A right turn from West means facing North. The bus then travels 8 km North, moving to (-14, 0). Step 8: The final coordinates of the office are (-14, 0) relative to the home at (0, 0). This means the office is 14 km to the West of the home and at the same North–South level.

Verification / Alternative check:
We can verify by summing horizontal and vertical components. Horizontally, the worker moves: 4 km East (home to taxi), 15 km West (by taxi), 3 km West (by bus). Net horizontal movement = 4 East − 15 West − 3 West = 4 − 18 = -14 km, i.e. 14 km West. Vertically, he moves 10 km South, 2 km North and 8 km North, for a net vertical displacement of -10 + 2 + 8 = 0 km. So there is no net North–South shift. The final position is therefore 14 km West of the starting point, matching the coordinate calculation.

Why Other Options Are Wrong:
22 km West or 22 km East correspond to incorrect net horizontal sums and do not reflect the cancellation of some movements. 14 km East would require a net positive horizontal displacement, whereas we clearly have a net movement to the West (negative x-direction). 10 km South would only be true after the first taxi leg; subsequent movements cancel that vertical displacement, bringing him back to the same North–South level as his home. Therefore, all options except 14 km West are inconsistent with the step-by-step analysis.

Common Pitfalls:
Because the question mixes different modes of transport, some test-takers forget to track the direction changes coherently across segments. Another pitfall is to confuse the effect of “right” turns from different starting orientations, for example thinking that a right turn from West leads to South instead of North. Maintaining a consistent coordinate system and clearly noting each orientation before a turn are crucial strategies for avoiding these errors.

Final Answer:
The office is located 14 km West of the worker's home.