From his house, Atul travels 10 kms to the east. Then he turned left and…
2023
From his house, Atul travels 10 kms to the east. Then he turned left and covered 5 kms and then he turned right and covered 6 kms. He turned again to his left and covered 5 kms. He then turned to his left and covered 20 kms. Finally, he turned to his right and covered 5 kms. In which direction is he from his starting point ?
- A.
(1) North-East
- B.
(2) South-East
- C.
(3) South-West
- D.
(4) North-West
Attempted by 75 students.
Show answer & explanation
Correct answer: D
Solution:
Start at (0, 0). Move 10 km east ⇒ (10, 0).
Turn left (north) and move 5 km ⇒ (10, 5).
Turn right (east) and move 6 km ⇒ (16, 5).
Turn left (north) and move 5 km ⇒ (16, 10).
Turn left (west) and move 20 km ⇒ (−4, 10).
Turn right (north) and move 5 km ⇒ (−4, 15).
Final displacement: x = −4 (4 km west), y = +15 (15 km north).
Therefore, Atul is north-west of his starting point.