Question

Rohit 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. 35 metres east
• B. 35 metres north
• C. 40 metres east
• D. 60 metres east

Answer 1

The Correct Option is A

To solve this problem, let's map out Rohit's movement step by step:

1. Rohit starts walking 25 metres towards the south.
2. He then turns to his left and walks 20 metres toward the east.
3. Then, he turns left again and walks 25 metres toward the north.
4. Finally, he turns to his right and walks 15 metres toward the east.

Let's break each movement down considering a coordinate system where the origin (0,0) represents the starting point.

1. First movement: 25 metres south, ending at (0, -25).
2. Second movement: 20 metres east, ending at (20, -25).
3. Third movement: 25 metres north, returning to (20, 0).
4. Fourth movement: 15 metres east, ending at (35, 0).

The final position is at (35, 0), which is 35 metres east of the starting point.

Thus, Rohit is 35 metres east from the starting point.