Ajay drives 3 kilometres North. Then he turns right and drives 4 kilo metres.…

2023

Ajay drives 3 kilometres North. Then he turns right and drives 4 kilo metres. Now he turns right and drives 5 kilometres. Now turning left, he drives 2 kilometres. Again, he turns left and moves 2 kilometres. Finally turning left he again walks 2 kilometres. In which direction & how far is he from his starting position?

  1. A.

    1.5 kilometres East

  2. B.

    4 kilometres East

  3. C.

    1.5 kilometres West

  4. D.

    4.5 metres West

Attempted by 29 students.

Show answer & explanation

Correct answer: B

Method: Use coordinates with east = +x and north = +y.

  1. Start at (0, 0).

  2. Drive 3 km North → (0, 3).

  3. Turn right and drive 4 km (east) → (4, 3).

  4. Turn right and drive 5 km (south) → (4, -2).

  5. Turn left and drive 2 km (east) → (6, -2).

  6. Turn left and drive 2 km (north) → (6, 0).

  7. Turn left and drive 2 km (west) → (4, 0).

Final position: (4, 0) → 4 kilometres East of the starting point.

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