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Deepak starts walking straight towards east. After walking 75 metres, he turns to the left and walks 25 metre straight. Again he turns to the left, walks a distance of 40 metres straight, again he turns to the left and walks a distance of 25 metres. How far is he from the starting point?

Question

Deepak starts walking straight towards east. After walking 75 metres, he turns to the left and walks 25 metre straight. Again he turns to the left, walks a distance of 40 metres straight, again he turns to the left and walks a distance of 25 metres. How far is he from the starting point?

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Solution

Deepak's journey can be broken down into four parts:

  1. He starts walking straight towards east for 75 metres.
  2. He turns to the left (which would be north) and walks 25 metres.
  3. He turns to the left again (which would be west) and walks 40 metres.
  4. He turns to the left one more time (which would be south) and walks 25 metres.

At the end of his journey, Deepak is 40 metres west of his original eastward path. However, because he initially walked 75 metres east, he is still 35 metres east of his starting point (75 metres - 40 metres = 35 metres).

Therefore, Deepak is 35 metres away from his starting point.

This problem has been solved

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