Question:

Kailash faces towards north. Turnings to his right, he walks 25 metres. He then turns to his left and walks 30 metres. Next, he moves 25 metres to his right. He then turns to the right again and walks 55 metres. Finally, he turns to the right and moves 40 metres. In which direction is he now from his starting point?

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To solve such direction-based problems, break the movement into simple steps and track the net displacement in each direction.
Updated On: Apr 2, 2025
  • South-West
  • North-West
  • South
  • South-East
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The Correct Option is D

Solution and Explanation

Step 1: Kailash starts by facing north. After turning to his right, he will face east. 
- He walks 25 metres in the east direction. 
Step 2: Kailash then turns to his left, which will make him face north. 
- He walks 30 metres in the north direction. 
Step 3: Kailash then turns to his right again, which will make him face east. 
- He walks 25 metres in the east direction. 
Step 4: Kailash turns to his right once more, which will make him face south. 
- He walks 55 metres in the south direction. 
Step 5: Finally, Kailash turns to his right again, which will make him face west. 
- He walks 40 metres in the west direction. 
Step 6: The net displacement is: 
- He has moved 50 metres east (25 + 25) and 40 metres west, so his net movement in the east-west direction is \( 50 - 40 = 10 \) metres east. 
- He has moved 30 metres north and 55 metres south, so his net movement in the north-south direction is \( 55 - 30 = 25 \) metres south. Thus, Kailash is 10 metres east and 25 metres south from his starting point, which puts him in the South-East direction.

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