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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 correct option is D 5 km towards South

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

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