Deepak walks 20 metres towards the North. Then he turns right and walks 30 metres. Now he turns right and walks 35 metres. Now, turning left, he walks 15 metres. Again, he turns left and walks 15 metres. Finally, turning left, he walks 15 metres. In which direction and how far is he from his original position?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 30 metres East
A right turn moves the facing direction one step clockwise (North → East → South → West) and a left turn one step anticlockwise. Track the facing direction after every turn and keep a running total of the distance from the start.
Facing North, 20 m: 20 m north of the start
Turns right, now facing East, 30 m: 20 m north, 30 m east
Turns right, now facing South, 35 m: \(35-20=15\) m south, 30 m east
Turns left, now facing East, 15 m: 15 m south, \(30+15=45\) m east
Turns left, now facing North, 15 m: \(15-15=0\) m south, 45 m east
Turns left, now facing West, 15 m: \(45-15=30\) m east
Deepak is 30 metres East of his original position.
