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Rashi travels 20 km north, turns right and travels 30 km, turns right and travels 35…

Paper 1 · Mathematical Reasoning and Aptitude
Rashi travels 20 km north, turns right and travels 30 km, turns right and travels 35 km, turns left and walks 15 km, and finally turns left and walks 15 km. In which direction and how far is she from the start?
A5 km west
B30 km east
C15 km east
D45 km east ✓ Correct
Correct answer: (D) 45 km east — She is 45 km to the east, so that is the answer.
Explanation
She is 45 km to the east, so that is the answer.
Going 20 km north, then 35 km south, then 15 km north gives no net vertical distance.
Turning right from north takes her 30 km east.
After the south leg she turns left and goes 15 km east.
So the eastward legs add to 30 plus 15, which is 45 km.
So she is 45 km to the east of the start.

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