Question

Ravi walks 8 km north, then turns right and walks 6 km. He then turns right and walks 8 km. In which direction is he now from his starting point?

• A. North
• B. East
• C. South
• D. West

Hint:

Notice that Ravi walked 8 km North and then later walked 8 km South.
Since the two vertical movements are equal and opposite, they cancel each other out.
This leaves only his horizontal movement, which was a 6 km walk to the right (East).
Thus, he is directly East of his starting point.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
This is a spatial reasoning question from the topic of Direction Sense.
We need to track the movements of a person named Ravi as he makes several turns and walks specific distances.
At the end of his journey, we must determine his final position's direction relative to his starting position.

Step 2: Detailed Explanation:
$\bullet$ Let us represent the directions on a standard 2D Cartesian coordinate plane:
$\bullet$ Let the starting point of Ravi be the origin $O(0, 0)$.
$\bullet$ North is along the positive y-axis ($+y$).
$\bullet$ East is along the positive x-axis ($+x$).
$\bullet$ South is along the negative y-axis ($-y$).
$\bullet$ West is along the negative x-axis ($-x$).
$\bullet$ Now, let us trace Ravi's movements step-by-step:
1. First Movement: Ravi walks 8 km North from the starting point $O(0, 0)$.
$\bullet$ He travels along the $+y$ direction to reach point $A(0, 8)$.
2. Second Movement: He turns right and walks 6 km.
$\bullet$ A right turn from North points towards East ($+x$ direction).
$\bullet$ Walking 6 km East from $A(0, 8)$ brings him to point $B(6, 8)$.
3. Third Movement: He turns right again and walks 8 km.
$\bullet$ A right turn from East points towards South ($-y$ direction).
$\bullet$ Walking 8 km South from $B(6, 8)$ reduces his y-coordinate by 8:
\[ Y_{\text{final}} = 8 - 8 = 0 \]
$\bullet$ Thus, his final position is at point $C(6, 0)$.
$\bullet$ Now, let us compare his final position $C(6, 0)$ with his starting position $O(0, 0)$.
$\bullet$ Point $C(6, 0)$ lies on the positive x-axis relative to the origin, which represents the East direction.
$\bullet$ Therefore, Ravi is currently in the East direction from his starting point.

Step 3: Final Answer:
Ravi is in the East direction from his starting point.
Therefore, the correct option is (B).