Question:
A traveller travels 10 km towards the East from Pune. He then turns 90 degrees towards his right and travels 5 km and again takes a 90 degrees turn towards his right and walks 5 km. What direction is he now with respect to Pune?
A traveller travels 10 km towards the East from Pune. He then turns 90 degrees towards his right and travels 5 km and again takes a 90 degrees turn towards his right and walks 5 km. What direction is he now with respect to Pune?
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When solving direction problems, always mark each step on an imaginary coordinate grid.
East = +x, West = –x, North = +y, South = –y. This helps avoid confusion.
Updated On: Mar 23, 2026
- South–West
- South–East
- North–West
- North–East
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The Correct Option is B
Solution and Explanation
Step 1: Starting point
The traveller starts at Pune and moves 10 km towards the East.
So, his new position is 10 km East of Pune.
Step 2: First right turn
Facing East, a right turn means facing South.
He then walks 5 km towards the South.
His position is now: 10 km East, 5 km South (relative to Pune).
Step 3: Second right turn
Facing South, a right turn means facing West.
He then walks 5 km towards the West.
So his final position is: (10 – 5) = 5 km East, and 5 km South of Pune.
Step 4: Determine direction
From Pune to his final position:
- 5 km East
- 5 km South
This lies in the South–East direction.
\[ \boxed{\text{South–East}} \]
The traveller starts at Pune and moves 10 km towards the East.
So, his new position is 10 km East of Pune.
Step 2: First right turn
Facing East, a right turn means facing South.
He then walks 5 km towards the South.
His position is now: 10 km East, 5 km South (relative to Pune).
Step 3: Second right turn
Facing South, a right turn means facing West.
He then walks 5 km towards the West.
So his final position is: (10 – 5) = 5 km East, and 5 km South of Pune.
Step 4: Determine direction
From Pune to his final position:
- 5 km East
- 5 km South
This lies in the South–East direction.
\[ \boxed{\text{South–East}} \]
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