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Question

A man travels 10 km towards the west and turns left and travels 4 km and then travels another 4 km towards the east. He then turns to his right and travels 5 kms. Then, he turns to his left and travels 6 kms. In which direction is he from his starting position?

This question was previously asked in
PYST : General Awareness - SSC Stenographer 2024 (Tier-I) (10-Dec-2024) (Shift 2)
The correct answer is
South

To solve this problem, we can trace the man's movements step-by-step:

  1. Step 1: He travels 10 km West.
  2. Step 2: He turns left (South) and travels 4 km.
  3. Step 3: He travels another 4 km East. This cancels out 4 km of his westward movement, leaving a net westward displacement of 6 km.
  4. Step 4: He turns right (North) and travels 5 km.
  5. Step 5: He turns left (West) and travels 6 km. This cancels out his remaining westward displacement.

Therefore, his final position is 4 km South of his starting point.

We can visualize this using a simple diagram (although not provided in the question, it helps to conceptualize the movements): Imagine the starting point as the origin (0,0) on a coordinate plane. Each movement can be represented as a vector. After all movements are accounted for, you will find a net displacement of 0 along the x-axis (East-West) and 4 along the y-axis (South).

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