Arpit traveled 3 km east from his home, then 2 km north followed by 3 km to east. He took a 90° right turn and walked 5 km straight, then he again took a right turn and walked 6 km more. How far is he now from his home?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 3 km
Each turn is taken from the direction Arpit is facing at that moment:
He goes East 3 km, North 2 km and East 3 km, so he is facing East
Facing East, a right turn is South: he walks 5 km
Facing South, a right turn is West: he walks 6 km
Where he ends:
East-West: \(3+3=6\) km East, then 6 km West, so he is back in line with his home
North-South: 2 km North, then 5 km South, so he is 3 km South of his home
He is therefore 3 km from his home, due South of it.