DIRECTION for the question: Solve the following question and mark the best possible option. Ravi walks 20 m North. Then he turns right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Then he again turns left and walks 15 m. In which direction and how many metres away is he from his original position?

Question

Mr. X starts walking from his house towards west. After walking a distance of 30 metres, he turned towards right and walked 20 metres. He then turned left and moving a distance of 10 metres, turned to his left again and walked 40 metres. He now turns to the left and walks 5 metres. Finally he turns to his left. In which direction is he walking now ?

Answer 1

Step 1: Understanding the Concept:
We track the movement on a 2D plane (North/South as Y-axis, East/West as X-axis). Starting point is $(0,0)$.
Step 2: Detailed Explanation:
1. North 20m: $(0, 20)$ 2. Right (East) 30m: $(30, 20)$ 3. Right (South) 35m: $(30, 20-35) = (30, -15)$ 4. Left (East) 15m: $(30+15, -15) = (45, -15)$ 5. Left (North) 15m: $(45, -15+15) = (45, 0)$
Step 3: Calculation:
The final position is $(45, 0)$. The original position was $(0, 0)$. Distance = $45 - 0 = 45$ metres. Direction = Positive X-axis, which is East.
Step 4: Final Answer:
He is 45 metres East from his original position. Thus, the correct option is (d).

Show Hint

The Correct Option is C

Solution and Explanation

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