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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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