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Mediumdisplacement

~60s

South, then two left turns

A man walks 5 km south, turns left and walks 3 km, then turns left and walks 5 km. How far is he from the start and in which direction?

Show the answer and the worked solution

Correct answer: A.

3 km east

Worked solution

  1. South 5 km, then left (east) 3 km, then left (north) 5 km.
  2. The southward and northward 5 km cancel.
  3. He is 3 km east of the start.

Answer: 3 km east.

The idea

Track the north–south and east–west totals separately. Opposite legs of equal length cancel entirely.

Shortcut. Two left turns face him the opposite way, so the second 5 km undoes the first; only the 3 km leg remains, and left of south is east.

Common trap. "3 km west" — taking a left turn from south as west; facing south, the left hand points east.

South, then two left turns — Aptitude Question

South, then two left turns: A man walks 5 km south, turns left and walks 3 km, then turns left and walks 5 km. Answer and worked solution on CodeKairo.

Question

A man walks 5 km south, turns left and walks 3 km, then turns left and walks 5 km. How far is he from the start and in which direction?

Options

  1. 3 km east
  2. 3 km west
  3. 5 km east
  4. 8 km east
Show the answer and the worked solution

Correct answer: A. 3 km east

Worked solution

  1. South 5 km, then left (east) 3 km, then left (north) 5 km.
  2. The southward and northward 5 km cancel.
  3. He is 3 km east of the start.

Answer: 3 km east.

The idea

Track the north–south and east–west totals separately. Opposite legs of equal length cancel entirely.

Shortcut. Two left turns face him the opposite way, so the second 5 km undoes the first; only the 3 km leg remains, and left of south is east.

Common trap. "3 km west" — taking a left turn from south as west; facing south, the left hand points east.

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