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Rahul walks 15 km towards North, then turns right and walks 10 km. He turns right again and walks 15 km. How far is he from his starting point?
10 km
15 km
20 km
25 km
10 km
Since the northward and southward movements are equal in magnitude (15 km each), they cancel each other out vertically, leaving the horizontal distance as the final displacement.
Since the northward and southward movements are equal in magnitude (15 km each), they cancel each other out vertically, leaving the horizontal distance as the final displacement.
Initial Northward Movement
Rahul starts from a point and walks 15 km North, placing him 15 km vertically above the starting position.
Right Turn and Eastward Walk
He turns right (facing East) and walks 10 km, moving 10 km horizontally to the right.
Final Right Turn and Southward Walk
He turns right again (facing South) and walks 15 km, which brings him back down vertically, aligning horizontally with his starting column at a distance of 10 km.
B: 15 km is the length of vertical walks, not the total displacement; C: 20 km overestimates the distance; D: 25 km incorrectly adds the vertical and horizontal segments together.
A is correct because Rahul's 15 km North and 15 km South movements cancel out vertically, leaving a direct horizontal distance of 10 km from the starting point.
Watch out for questions where movements form a rectangle or cancel out, as summing all distances directly is a common trap.
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