Discussion
Radha moves towards South-East a distance of 7 km, then she moves towards West and travels a distance of 14 km. From here she moves towards North-West a distance of 7 km and finally she moves a distance of 4 km towards east. How far is she now from the starting point?
Answer: C
Correct answer: 10 km
The south-east and north-west legs are equal and opposite in their north-south parts, so those cancel; both also carry her west, and with the 14 km westward leg she ends 14 km west of the start. The final 4 km back towards the east leaves her \[ 14 - 4 = \mathbf{10}\text{ km} \] away.
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