Question

Janhvi starts walking from her home and goes 45 m towards the west. She then turns right and walks 32 m. Then, she turns right and walks 88 m. After that, she turns right and walks 50 m. Finally, she turns right again and walks 43 m. How far and in which direction is she now from her home? (All turns are 90 degree turns only)

• A. 18 m, South
• B. 16 m, South
• C. 45 m, North
• D. 18 m, North

Answer 1

Answer:

A. 18 m, South

Janhvi is 18 meters South of her home.

• Initial position: Starts at home (0, 0).

• First move: 45 m West $\rightarrow$ (-45, 0)

• Second move: Turns right (North), walks 32 m $\rightarrow$ (-45, 32)

• Third move: Turns right (East), walks 88 m $\rightarrow$ (43, 32)

• Fourth move: Turns right (South), walks 50 m $\rightarrow$ (43, -18)

• Final move: Turns right (West), walks 43 m $\rightarrow$ (0, -18)

• Horizontal Position: The net East-West movements perfectly cancel out (-45 + 88 - 43 = 0). She is directly aligned with her home horizontally.

• Vertical Position: The net North-South movements leave her at 32 - 50 = -18.