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Rana 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

Rana 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 turns left (which would be west if we assume he started facing north) and travels 4 km.
  3. He then turns right (which would be north again) and travels 5 km.
  4. Finally, he turns right again (which would be east) and travels 4 km.

At the end of his journey, Rana is 5 km north of his starting point (10 km north - 5 km south) and 4 km west of his starting point. However, the question asks for the distance from his starting point, not his displacement.

The distance he traveled is the sum of the lengths of each leg of his journey, which is 10 km + 4 km + 5 km + 4 km = 23 km.

However, if the question is asking for the straight-line distance ("as the crow flies") from his starting point, then we need to use the Pythagorean theorem. The east-west distance is 0 (he ended up directly north of his starting point), and the north-south distance is 5 km, so the straight-line distance is 5 km.

So, the answer is 5 km.

This problem has been solved

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