Question

Raunak walks 20 m Northwards. Then turns right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Then he again turns left and walks 15 m. In which direction and how many metres away is he from his original position?

• A. 15 m, West
• B. 30 m, East
• C. 30 m, West
• D. 45 m, East

Hint:

Raunak walks 20 m Northwards. Then turns right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Then he again turns left and walks 15 m. In which direction and how many metres away is he from his original position?

Answer 1

The Correct Option is D

Let the starting position be (0,0). Directions: N(y+), S(y-), E(x+), W(x-). 1. Walks 20 m North: Position (0, 20). 2. Turns right (facing East), walks 30 m: Position (0+30, 20) = (30, 20). 3. Turns right (facing South), walks 35 m: Position (30, 20-35) = (30,-15). 4. Turns left (facing East), walks 15 m: Position (30+15,-15) = (45,-15). 5. Turns left (facing North), walks 15 m: Position (45,-15+15) = (45, 0). The final position is (45, 0). Compared to the origin (0,0), this is 45 m along the positive x-axis, which is East. He is 45 m East from his original position. This matches option (4).