Anmol starts from Point A and drives 23 km towards the west. He then takes a right turn, drives 27 km, turns right and drives 29 km. He then takes a right…
Anmol starts from Point A and drives 23 km towards the west. He then takes a right turn, drives 27 km, turns right and drives 29 km. He then takes a right turn and drives 32 km. He takes a final right turn, drives 6 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
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Correct answer: (A) 3 km to the north
Explanation
Official answer key: (1) 3 km to the north Correct answer should be (3) 5 km to the north. Taking A as the origin: 23 km west → (−23, 0); right turn (north) 27 km → (−23, 27); right (east) 29 km → (6, 27); right (south) 32 km → (6, −5); right (west) 6 km → P (0, −5). P is 5 km due south of A, so he must drive 5 km to the north. Scoring follows the official key.