A person X was driving in a place where all roads ran either north-south or east-west, forming a grid. Roads a

Question

A person X was driving in a place where all roads ran either north-south or east-west, forming a grid. Roads are at a distance of 1 km from each other in a parallel. He started at the intersection of two roads, drove 3

km north, 3 km west and 4 km south. Which further route could bring him back to his starting point, if the same route is not repeated?

Accepted Answer

1.  Initial Movement Analysis:
    *   Start: (0,0)
    *   3 km North: Position becomes (0, +3)
    *   3 km West: Position becomes (-3, +3)
    *   4 km South: Position becomes (-3, +3 - 4) = (-3, -1)
    *   So, X's final position is 3 km West and 1 km South of the starting point.

2.  To return to the starting point (0,0) from (-3, -1), X needs to travel:
    *   3 km East (to move from -3 to 0 on the west-east axis)
    *   1 km North (to move from -1 to 0 on the south-north axis)

3.  Option Analysis:
    *   A) 3 km east, then 2 km south: From (-3, -1), 3 km east leads to (0, -1). Then 2 km south leads to (0, -3). Not the starting point.
    *   B) 3 km east, then 1 km north: From (-3, -1), 3 km east leads to (0, -1). Then 1 km north leads to (0, 0). This is the starting point.
    *   C) 1 km north, then 2 km west: From (-3, -1), 1 km north leads to (-3, 0). Then 2 km west leads to (-5, 0). Not the starting point.
    *   D) 3 km south, then 1 km north: From (-3, -1), 3 km south leads to (-3, -4). Then 1 km north leads to (-3, -3). Not the starting point.

Therefore, option B is the correct route to bring X back to the starting point.

Answer

3 km east, then 2 km south

Answer

3 km east, then 1 km north

Answer

1 km north, then 2 km west

Answer

3 km south, then 1 km north

Explanation

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