Two men Kashish and Yash start from the same point. Kashish walks 0.3 km west, then turns north and walks 0.45 m, then turns to his right and walks 0.6 km. At the same time, Yash walks 0.1 km east, then turns left and walks 0.45 km. Where is Yash now with respect to the current position of Kashish?

1. A

   0.5 km west

2. B

   0.2 km east

3. C

   0.2 km west

4. D

   0.5 km east

Appeared in: DSSSB -28 August 2019 (Shift-2)

Explanation

• The problem is best solved by mapping the movements on a 2D coordinate plane, with the starting point as the origin (0,0).
• Kashish's final coordinates are calculated by summing his movements: (-0.3 + 0.6, 0.45), which results in (0.3, 0.45).
• Yash's final coordinates are calculated as (0.1, 0.45).
• Comparing the final positions, Yash is at x=0.1 and Kashish is at x=0.3. Both are at the same y-level (0.45).
• The difference in the x-axis is 0.2 km, and since Yash's x-value is smaller, he is to the west of Kashish.

Why Other Options Were Wrong

• Option A: This is an incorrect calculation of the final distance between the two individuals on the east-west axis.
• Option B: The distance of 0.2 km is correct, but the direction is wrong. This option describes Kashish's position relative to Yash, not the other way around.
• Option D: This option has both the distance and the direction incorrect. It might result from misinterpreting the direction of turns or summing distances incorrectly.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Direction and Distance Reasoning as background academic context rather than a clinical decision trigger.
• While this is a non-nursing question, it tests logical reasoning and spatial awareness, skills that are valuable in any profession.
• For nurses, strong problem-solving skills are essential for making quick, accurate decisions in complex clinical situations, such as navigating a large hospital or understanding spatial relationships in patient positioning.
• What if? If Kashish had turned left instead of right on his final move, he would have walked 0.6 km west from (-0.3, 0.45), ending at (-0.9, 0.45). Yash would still be at (0.1, 0.45). The distance between them would be 1.0 km, with Yash being 1.0 km east of Kashish.

How to Approach the Question

• First, identify that this is a relative position problem involving directions and distances.
• Establish a simple coordinate system (e.g., North-South as the y-axis, East-West as the x-axis) with the starting point at the origin (0,0).
• Carefully plot the path of the first person (Kashish), updating their coordinates after each move. Pay close attention to the direction of turns (e.g., turning right from North means heading East).
• Separately, plot the path of the second person (Yash) and determine their final coordinates.
• Compare the final coordinates of both individuals to determine their relative position (e.g., difference in x-coordinates for East-West position, difference in y-coordinates for North-South position).
• Select the option that correctly describes the distance and direction of the second person (Yash) relative to the first (Kashish).

Concept Tested & Keywords

• Concept Tested: Direction and Distance Reasoning
• Stem keywords: start from the same point, walks west, turns north, turns to his right, walks east, turns left
• Lead-in keywords: Where is Yash now with respect to the current position of Kashish?

Question ID

QYZD-e-dtvpUCDrcqU5aP5

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