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Your house is located at X and your school is located at Y. Although your school is just opposite but you cannot go straight because of the busy highway in between. So, you first go 125 m due south, then cross a 100 m long subway which is due east and finally reach your school at Y which is 125 m due north. With respect to school at Y your house at X is

  • A.125 m due south
  • B.100 m due east
  • C.100 m due west
  • D.125 m due north

Answer: C

With respect to the school at Y, the house at X is 100 m due west.

Trace the route. From X you go 125 m south, then 100 m east, then 125 m north. The southward and northward legs cancel, so the net movement is 100 m east: Y is 100 m east of X.

Seen from Y, the direction is reversed: X is 100 m due west. The option 100 m due east is the position of Y from X, the reverse of what is asked. The 125 m options take one of the legs that cancel out as if it were the final displacement.

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