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Ravi walks in the west direction for a distance of 4 km. He then turns southwards and walks for 3 km. He then turns towards east and walks for 8 km. What is the minimum distance between his initial position and final position?
  • a)
    6
  • b)
    5
  • c)
    7
  • d)
    4
  • e)
    3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Ravi walks in the west direction for a distance of 4 km. He then turns...
1) Ravi walks in the west direction for a distance of 4 km.
2) He then turns southwards and walks for 3 km. He then turns towards east and walks for 8 km.
 
Applying Pythagoras’s Theorem, we get the required distance as 5 km.
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Most Upvoted Answer
Ravi walks in the west direction for a distance of 4 km. He then turns...
Understanding Ravi's Movement
Ravi's journey can be visualized on a coordinate plane, starting from an initial point (0, 0). Let's break down his movements step by step:
Step 1: Walking West
- Ravi walks 4 km west.
- This means he moves from (0, 0) to (-4, 0).
Step 2: Turning South
- Next, he turns south and walks 3 km.
- His new position is now (-4, 0) to (-4, -3).
Step 3: Turning East
- Finally, he turns east and walks 8 km.
- This takes him from (-4, -3) to (4, -3).
Calculating the Minimum Distance
To find the minimum distance between his initial position (0, 0) and final position (4, -3), we can use the distance formula. The formula for distance between two points (x1, y1) and (x2, y2) is:
- Distance = √((x2 - x1)² + (y2 - y1)²)
Plugging in the points:
- Distance = √((4 - 0)² + (-3 - 0)²)
- Distance = √(4² + (-3)²)
- Distance = √(16 + 9)
- Distance = √25
- Distance = 5 km
Conclusion
The minimum distance between Ravi's initial position and final position is 5 km, confirming that the correct answer is option 'B'.
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Ravi walks in the west direction for a distance of 4 km. He then turns southwards and walks for 3 km. He then turns towards east and walks for 8 km. What is the minimum distance between his initial position and final position?a)6b)5c)7d)4e)3Correct answer is option 'B'. Can you explain this answer?
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Ravi walks in the west direction for a distance of 4 km. He then turns southwards and walks for 3 km. He then turns towards east and walks for 8 km. What is the minimum distance between his initial position and final position?a)6b)5c)7d)4e)3Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Ravi walks in the west direction for a distance of 4 km. He then turns southwards and walks for 3 km. He then turns towards east and walks for 8 km. What is the minimum distance between his initial position and final position?a)6b)5c)7d)4e)3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ravi walks in the west direction for a distance of 4 km. He then turns southwards and walks for 3 km. He then turns towards east and walks for 8 km. What is the minimum distance between his initial position and final position?a)6b)5c)7d)4e)3Correct answer is option 'B'. Can you explain this answer?.
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