Question

Rajesh walked 25 metres towards South. Then he turned to his left and walked 20 metres. He then turned to his left and walked 25 metres. He again turned to his right and walked 15 metres. At what distance is he from the starting point and in which direction ?

• A. 60 metres - East
• B. 35 metres - East
• C. 35 metres - North
• D. 40 metres - East

Answer 1

The Correct Option is B

To solve the problem, we need to trace the path Rajesh takes and determine his final position relative to the starting point.

1. Rajesh starts at a point and walks 25 metres south. Let's call this point A.
2. He then turns left, which from south would mean he now faces east, and walks 20 metres. Let this point be B.
3. Next, he turns left again, which means he is now facing north and walks 25 metres. This brings him back in line with the starting point horizontally. Let's call this point C.
4. Finally, he turns right (from north this means east) and walks 15 metres. Let this be point D.

To determine how far he is from the starting point and in which direction:

• Horizontally, he walked 20 metres east from A to B, and an additional 15 metres east from C to D, totalling 35 metres east.
• Since he walked back north the same distance he initially walked south (25 metres), he is back on the initial horizontal line.

Thus, Rajesh is 35 metres away from the starting point, and since his final position is directly east of the starting point, the direction is East.

The correct answer is: 35 metres - East.