Question 42

Two lady cyclists A and B start from the same point. A cycles 3.5 km West, then turns to her right and cycles 7 km. B cycles 1 km East, then turns North and cycles 7 km, then turns to her left and cycles 2 km. Where is B with respect to A now?

Solution

Let the two lady cyclists A and B start from the same point S. A (red) cycles 3.5 km West to reach E, then turns to her right and cycles 7 km northwards. B (black) cycles 1 km East to reach D, then turns North and cycles 7 km to point C, then turns to her left and cycles 2 km towards west. 

=> AB = $$(3.5+1)-2=2.5$$ km

$$\therefore$$ B is 2.5 km east with respect to A now.

=> Ans - (C)


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