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Select the correct answerRana travels 10 km to the North, turns left and travels 4 km and then again turns right and covers another 5 km and then turns right and travels another 4 km. How far is he from the right starting point?Options15 km5 km10 km4 km

Question

Select the correct answerRana travels 10 km to the North, turns left and travels 4 km and then again turns right and covers another 5 km and then turns right and travels another 4 km. How far is he from the right starting point?Options15 km5 km10 km4 km

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Solution

Rana's journey can be visualized as follows:

  1. He starts at a point and travels 10 km north.
  2. He then turns left, which would be towards the west, and travels 4 km.
  3. He then turns right, which would be towards the north again, and travels 5 km.
  4. Finally, he turns right again, which would be towards the east, and travels 4 km.

At the end of his journey, Rana is 5 km north of his starting point (10 km north initially, then 5 km north again, but 4 km south at the end, so net 10 km - 4 km = 6 km north) and 4 km west of his starting point.

However, he then travels 4 km east, which brings him back to his north-south line of travel. So, he is now 6 km north of his starting point, with no east-west displacement.

Therefore, Rana is 6 km away from his starting point. But since this option is not available, it seems there might be a mistake in the question or the options provided.

This problem has been solved

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