A man walks 6 km to the east and then turn to the south 2 km. Next he turns east and walks 8 km. Finally he turns north wards and walks 2 km. How far is he now from his starting point ?
Question
A man walks 6 km to the east and then turn to the south 2 km. Next he turns east and walks 8 km. Finally he turns north wards and walks 2 km. How far is he now from his starting point ?
Solution
The man's journey can be broken down into four parts:
- He walks 6 km to the east.
- He turns south and walks 2 km.
- He turns east again and walks 8 km.
- He turns north and walks 2 km.
To find out how far he is from his starting point, we need to consider the directions he moved in. The southward and northward movements cancel each other out because they are in opposite directions and for the same distance (2 km).
So, we only need to consider the eastward movements. He moved 6 km east, then another 8 km east, for a total of 14 km.
Therefore, the man is 14 km away from his starting point.
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