Question

The door of Aman's house faces east. From the back side of his house, Aman walks straight 30m. Again he walks 20m after turning to his left, then he turns to his right and walks 30m. Finally he turns towards north and walks 20m and stops. So, what is the distance between the starting and the end point?

• A. 45m
• B. 40m
• C. 50m
• D. 60m

Hint:

In problems involving movement in directions, break the movement into components along the North-South and East-West axes to calculate the displacement.

Answer 1

The Correct Option is B

Step 1: Visualize the directions and distances.
Aman walks as follows: - 30m East - 20m North (after turning left) - 30m West (after turning right) - 20m North (finally turns north)

Step 2: Calculate the displacement.
In the East-West direction, he moves 30m east and 30m west, so the net displacement is 0. In the North-South direction, he moves 20m north twice, so the net displacement is 40m. Therefore, the distance between the starting point and the end point is 40m.

Final Answer: \[ \boxed{40m} \]