Farhan walks 4 km towards the West from a bus stop. He then turns to his left and walks 6 km, turns to his left again and walks 10 km, and finally turns to his left and walks 6 km. Consider the following statements:
I. Farhan is now 6 km to the East of the bus stop.
II. Farhan is facing North at the end of his walk.
Which of the above statements is/are correct?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Both I and II
Each left turn moves the facing direction one step anticlockwise: West → South → East → North.
4 km West: 4 km west of the bus stop
Turns left, now facing South, 6 km: 4 km west, 6 km south
Turns left, now facing East, 10 km: \(10-4=6\) km east, 6 km south
Turns left, now facing North, 6 km: 6 km east, \(6-6=0\) km south
Statement I — Correct. The south and north walks cancel, so Farhan is exactly 6 km East of the bus stop.
Statement II — Correct. After the third left turn he faces North and walks in that direction.
Both statements are correct.
