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    Two postmen, C and D, start walking from a post office. C walks 2 km north, then turns to his right and walks 5 km. Meanwhile D walks 5 km East, turns
    Question

    Two postmen, C and D, start walking from a post office. C walks 2 km north, then turns to his right and walks 5 km. Meanwhile D walks 5 km East, turns right and walks 6 km. Where is D with respect to C?

    A.

    D is 8 km South of C

    B.

    D is 4 km North of C

    C.

    D is 4 km South of C

    D.

    D is 8 km North of C

    Correct option is A


    According to the question,
    C's first movement:
    C walks 2 km North from the post office:
    Position: (0,2).
    C's second movement:
    C turns right (East) and walks 5 km :
    Position: (5,2).
    Determine the final position of D :
    D's first movement:
    D walks 5 km East from the post office:
    Position: (5,0).
    D's second movement:
    D turns right (South) and walks 6 km :
    Position: (5,-6).
    Relative position of D with respect to C :
    · C 's final position: (5,2).
    · D 's final position: (5,-6).
    · Difference in the -coordinates: 2-(-6) = 8 km South.

    Hence, It is clear from the above path diagram that D is 8 km south of C.

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