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Question

A man walked 3 km towards North then 8 km towards South. What is his final position with respect to his initial position?


A

5 km towards East

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B

3 km towards South

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C

8 km towards North

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D

5 km towards South

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Solution


The north direction can be taken as positive and south as negative.
Then walking 3 km towards north can be taken as +3 units.
Walking 8 km towards south can be taken as -8 units.
The final position = +3 - 8 = -5 units.
Here, the '-' sign shows that he is in the south direction with respect to his initial position.
So, the man's final position is 5 km towards south with respect to his initial position.

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