Ganga leaves from her college at 10:00 a.m. She starts walking towards north and covers a distance of 14 km. She turns right and walks 20 km to reach point K. She turns left and walk 16 km. She again turns left and walks 10 km. How far (in km) and in which direction is she now from point K?

Let Ganga leaves from her college at 10:00 a.m from point C. She starts walking towards north and covers a distance of 14 km to reach D. She turns right and walks 20 km to reach point K. She turns left and walk 16 km towards north. She again turns left and walks 10 km westwards to stop at point M.

=> $$(KM)^2=(KL)^2+(LM)^2$$

=> $$(KM)^2=(10)^2+(16)^2$$

=> $$(KM)^2=100+256=356$$

=> $$KM=\sqrt{356}=2\sqrt{89}$$ km

$$\therefore$$ She is $$2\sqrt{89}$$ km north-west from point K.

=> Ans - (B)