Ahmed walks 7 km west, then 3 km north, then 4 km east, then 7 km south. How far is he from his starting point, and in which direction?

  1. 5 km North-East
  2. 7 km South-West
  3. 21 km South-West
  4. 5 km South-West
Answer

D) 5 km South-West

Net east–west: -3 km, net north–south: -4 km. Distance = -3^2 + -4^2 = 5 km, towards the South-West.

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