Question:

Rashmi travels 10 km towards the north, turns left and travels 4 km and then again turns right and covers another 5 km and then turns right and travels another 4 km. How far is she from the starting point ?

  • 5 km
  • 10 km
  • 19 km
  • 15 km
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The Correct Option is D

Solution and Explanation

To find out how far Rashmi is from the starting point, we can break down her journey step by step and visualize it. Here's the breakdown:
  1. Rashmi starts by traveling 10 km north.
  2. She then turns left and travels 4 km. Since she was going north, turning left means she now heads west.
  3. Then she makes a right turn and covers 5 km. Heading west, a right turn leads her north again.
  4. Finally, she turns right once more and travels 4 km. Moving north again, another right leads her east.
The final position can be visualized by placing Rashmi's coordinates relative to her starting point:
DirectionDisplacement
North10 + 5 = 15 km
SouthNone
East4 km (last turn)
West4 km
Since the eastward and westward displacements cancel each other out, Rashmi's total vertical displacement is 15 km north. Therefore, she is 15 km away from the starting point.
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