A and B are standing at a distance of 20 km from each other on a straight road running East-West. From there they start moving towards east and west at the same time. After covering a distance of 5 km, A turns to his left and walks 10 km, while B after covering a distance of 5 km turns to his right and walks 10 km. After that both turn to their left and cover a distance of 5 km. What is the distance between them now?
Explanation:
Assume A at (0,0), B at (20,0). A moves east 5 → (5,0); left (north) 10 → (5,10). B moves west 5 → (15,0); right (north) 10 → (15,10). Both turn left (west) 5: A → (0,10), B → (10,10). Distance = 10 km.
Sahil walks 5 km towards north from a fixed point. Then he turns right and walks 3 km. After this he turns right and walks 5 km. Finally he turns left and walks 4 km. Now in which direction and at what distance is he from the fixed position?
Explanation:
Sahil goes 5 km North, then 3 km East, then 5 km South (back to the original horizontal line), and finally 4 km East. Total distance from the start is 3 km + 4 km = 7 km. He is to the East of his starting point.
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