Question:

Ramesh travelled from a point and straight to Y at a distance of 90 m. He turned right and walked 40 m, then again turned right and walked 70 m. Finally, he turned right and walked 40 m. How far he is from the starting point ?

  • 70 m
  • 10 m
  • 20 m
  • 30 m
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The Correct Option is C

Solution and Explanation

To solve this problem, we need to determine Ramesh's final position relative to his starting point after completing a series of movements. Let's break down the movements step by step:

  1. Ramesh starts at his initial point and travels 90 m straight to point Y.
  2. He then turns right and walks 40 m. 
  3. Next, he turns right again and walks 70 m.
  4. Finally, he makes another right turn and walks 40 m.

Let's visualize Ramesh's path:

  • Initially, Ramesh travels 90 m from the starting point to point Y.
  • After turning right for the first time and walking 40 m, he creates a perpendicular segment to his original path.
  • Turning right again and walking 70 m means he is now heading in the opposite direction of his initial 90 m path. Since he's walked 70 m in this direction, the net distance left along this path is 90 m (initial) - 70 m = 20 m. Now, he's only 20 m away horizontally from the starting line.
  • Finally, he turns right again and walks 40 m, which returns him to a path parallel to his original direction, maintaining the horizontal distance of 20 m from start point.

Thus, the final distance from his starting point is only the remaining distance from the 90 m walk that wasn't cancelled by the 70 m return, which is 20 m.

OptionDistance from starting point
70 mToo far
10 mToo short
20 mCorrect
30 mIncorrect

The correct answer is 20 m.

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