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Anurag starts from point A and drives 10 km towards the East. He then takes a left turn and drives 5 km. He turns right and drives 5 km. Finally, he turns right and drives 5 km. How far is he from the starting point?
15 km
10 km
20 km
18 km
15 km
Track horizontal and vertical net displacement separately: add East/North and subtract West/South movements.
Track horizontal and vertical net displacement separately: add East/North and subtract West/South movements.
Establish Coordinates
Let the starting point A be at (0,0). Moving 10 km East puts him at (10,0).
Track Sequential Turns
From (10,0), he turns left (North) for 5 km to reach (10,5). He then turns right (East) for 5 km to reach (15,5). Finally, he turns right (South) for 5 km to reach (15,0).
Calculate Final Distance
The final position is (15,0) and the starting point was (0,0). The straight-line distance is calculated by the horizontal displacement: 15 - 0 = 15 km.
B: 10 km is incorrect because it ignores the final segments of movement. C: 20 km is incorrect as it implies an addition of segments that do not align linearly. D: 18 km is a distractor value not supported by the coordinate calculation.
A is correct because the cumulative net displacement from (0,0) to (15,0) is exactly 15 km.
In direction sense questions, always convert movements to a 2D coordinate system to avoid confusion with multiple turns.
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