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

Hint:

Plot Rajesh's path on a simple direction grid, tracking which way he faces after each turn.

Answer 1

The Correct Option is B

Step 1: Set up a coordinate system.
Let the starting point be the origin (0, 0), with East as the positive x-direction and North as the positive y-direction.

Step 2: Track each leg of the walk.
Leg 1: Walks 25 m South, so position becomes \((0, -25)\). Facing South, a left turn makes him face East.
Leg 2: Walks 20 m East, so position becomes \((0+20, -25) = (20, -25)\). Facing East, a left turn makes him face North.
Leg 3: Walks 25 m North, so position becomes \((20, -25+25) = (20, 0)\). Facing North, a right turn makes him face East.
Leg 4: Walks 15 m East, so position becomes \((20+15, 0) = (35, 0)\).

Step 3: Find the distance and direction from the start.
The final position is \((35, 0)\), which is 35 m along the positive x-axis (East) and 0 m in the y-direction (North-South). So Rajesh ends up exactly 35 m due East of his starting point.

Final Answer:
Rajesh is 35 metres from the starting point, in the East direction, so option B is correct. \[ \boxed{\text{35 m, East}} \]