Ravi started walking 10 km towards North from his home. He then turned left and walked 5 km. After that, he turned left again and walked 10 km. He then turned right and walked 10 km. How far and in which direction is he from his home?
Correct: B
Let Ravi's home be the origin (0,0).
1. Walks 10 km North: Position becomes (0, 10).
2. Turns left (West) and walks 5 km: Position becomes (0-5, 10) = (-5, 10).
3. Turns left (South) and walks 10 km: Position becomes (-5, 10-10) = (-5, 0).
4. Turns right (West) and walks 10 km: Position becomes (-5-10, 0) = (-15, 0).
The final position is (-15, 0) relative to his home (0,0).
This means he is 15 km to the West of his home.
Therefore, he is 15 km West from his home.