An office worker walks 4 km East from his home to reach a taxi-stand. He catches a taxi from there which goes 10 km South, then the taxi turns right and goes a further 15 km. Here he gets down and takes a bus. This bus travels 2 km North, then travels 3 km West then it turns to its right and travels 8 km to reach the man's office. Where is this man's office with respect to his home?

Let us chart the movements point-by-point along X (East-West) and Y (North-South) axes starting from Home at (0,0):
Walks 4 km East:

Position=(4,0)
Taxi goes 10 km South:

Position=(4,−10)
Taxi turns right (facing South, right means West) and goes 15 km:

Position=(4−15,−10)=(−11,−10)
Bus travels 2 km North:

Position=(−11,−10+2)=(−11,−8)
Bus travels 3 km West:

Position=(−11−3,−8)=(−14,−8)
Bus turns right (facing West, right means North) and travels 8 km:

Position=(−14,−8+8)=(−14,0)
Final position coordinates are (−14,0).
This means the office is exactly 14 km West with respect to his home.