Starting from a point P, Sachin walked 20 metres towards the South. He turned left and walked 30 metres. He then turned left and walked 20 metres. He again turned left and walked 40 metres and reached a point Q. How far and in which direction is the point Q from the point P?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 10 metres West
A left turn moves the facing direction one step anticlockwise (South → East → North → West). Track the facing direction after every turn and keep a running total of the distance from P.
Facing South, 20 m: 20 m south of P
Turns left, now facing East, 30 m: 20 m south, 30 m east
Turns left, now facing North, 20 m: \(20-20=0\) m south, 30 m east
Turns left, now facing West, 40 m: \(40-30=10\) m west
Point Q is 10 metres West of point P.
