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If a person walks 5 km north, then 5 km east, and finally 5 km south, how far ar

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Question: If a person walks 5 km north, then 5 km east, and finally 5 km south, how far are they from the starting point?

Options:

  1. 0 km
  2. 5 km
  3. 10 km
  4. 7.5 km

Correct Answer: 0 km

Solution:

The person returns to the starting point after walking in a triangular path, so the distance from the starting point is 0 km.

If a person walks 5 km north, then 5 km east, and finally 5 km south, how far ar

Practice Questions

Q1
If a person walks 5 km north, then 5 km east, and finally 5 km south, how far are they from the starting point?
  1. 0 km
  2. 5 km
  3. 10 km
  4. 7.5 km

Questions & Step-by-Step Solutions

If a person walks 5 km north, then 5 km east, and finally 5 km south, how far are they from the starting point?
  • Step 1: The person starts at a point, which we can call the starting point.
  • Step 2: The person walks 5 km north. Now they are 5 km north of the starting point.
  • Step 3: Next, the person walks 5 km east. They are now 5 km north and 5 km east of the starting point.
  • Step 4: Finally, the person walks 5 km south. This means they move back down 5 km from their current position.
  • Step 5: Since they were 5 km north before walking south, walking 5 km south brings them back to the same level as the starting point.
  • Step 6: Now, they are 5 km east of the starting point, but at the same north-south level.
  • Step 7: The final position is 5 km east of the starting point, so they are not at the starting point anymore.
  • Coordinate Geometry – Understanding movement in a two-dimensional plane and how to calculate distance based on directional movement.
  • Path Analysis – Analyzing the path taken to determine the final position relative to the starting point.
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