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A person walks 5 km towards the North, then turns right and walks 3 km, then turns right and walks 5 km. How far is he from the starting point?
8 km
5 km
3 km
10 km
3 km
Equal and opposite North and South movements cancel each other out, leaving only the East displacement as the final distance.
Equal and opposite North and South movements cancel each other out, leaving only the East displacement as the final distance.
Initial North Movement
The person starts from a reference point and walks 5 km towards the North (vertical displacement of +5 km).
East Movement
Turning right from North points East, and walking 3 km creates a horizontal displacement of +3 km.
Final South Movement & Calculation
Turning right again points South. Walking 5 km southward completely offsets the initial 5 km northward walk, resulting in a net vertical displacement of 0 and a direct distance of 3 km from the origin.
A: 8 km incorrectly adds the North and East segments (5 + 3); B: 5 km mistakes a single leg for the total displacement; D: 10 km incorrectly sums all three path segments (5 + 3 + 5).
C is correct because the 5 km North and 5 km South movements neutralize each other, leaving a net horizontal distance of 3 km East from the starting point.
Always track movements along orthogonal axes (North-South and East-West) separately to easily spot cancelling segments and save time.
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