Aman drove his car northwards, then turned left and drove 2 km, and again turned left and drove 4 km. He found himself exactly 2 km west of his starting point. How far did he drive northwards initially?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 4 km
Each turn is taken from the direction he is facing at that moment:
Facing North, a left turn is West: he drives 2 km West
Facing West, a left turn is South: he drives 4 km South
He ends up due west of the start, on the same east–west line, so the 4 km he drove South has brought him all the way back from his drive North. He therefore drove 4 km northwards at first; the 2 km West is his distance from the start.
