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Raj travelled from a point X straight to Y at a distance of 80 metres. He turned right and walked 50 metres, then again turned right and walked 70 metres. Finally, he turned right and walked 50 metres. How far is he from the starting point?
- a)10 metres
- b)20 metres
- c)50 metres
- d)70 metres
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Raj travelled from a point X straight to Y at a distance of 80 metres....
(i) Raj starts at point X and walks 80 metres to point Y.
(ii) He turns right and walks 50 metres.
(iii) Then he turns right again and walks 70 metres.
(iv) After another right turn, he walks 50 metres.
After all the turns, Raj is 10 metres away from where he started.
So, the correct answer is Option A - 10 meters.
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Community Answer
Raj travelled from a point X straight to Y at a distance of 80 metres....
Understanding Raj's Journey
To determine how far Raj is from his starting point after his journey, we can break down the steps he took and visualize his movements.
Step-by-Step Breakdown
1. Initial Movement:
- Raj travels from point X to point Y, covering a distance of 80 metres straight ahead.
2. First Turn:
- He turns right and walks 50 metres.
- This means he is now positioned 50 metres to the right of his previous endpoint (point Y).
3. Second Turn:
- Raj turns right again and walks 70 metres.
- Now, he moves downwards (relative to his initial direction) and is positioned 70 metres below his last endpoint.
4. Final Turn:
- He turns right once more and walks 50 metres.
- This movement brings him back to align with the vertical line of his original starting point (point X).
Visual Representation
- Starting Point (X): (0,0)
- Point Y: After moving straight up 80 metres, it is at (0,80).
- After First Turn: He is now at (50,80).
- After Second Turn: He moves down to (50,10) (80 - 70 = 10).
- After Final Turn: He walks to (0,10).
Calculating the Distance
- To find the distance from the starting point (0,0) to his final position (0,10):
- The distance is the vertical distance down to 10 metres.
Thus, the final distance from point X is 10 metres.
Conclusion
Raj is 10 metres away from his starting point, confirming that the correct answer is option 'A'.
To determine how far Raj is from his starting point after his journey, we can break down the steps he took and visualize his movements.
Step-by-Step Breakdown
1. Initial Movement:
- Raj travels from point X to point Y, covering a distance of 80 metres straight ahead.
2. First Turn:
- He turns right and walks 50 metres.
- This means he is now positioned 50 metres to the right of his previous endpoint (point Y).
3. Second Turn:
- Raj turns right again and walks 70 metres.
- Now, he moves downwards (relative to his initial direction) and is positioned 70 metres below his last endpoint.
4. Final Turn:
- He turns right once more and walks 50 metres.
- This movement brings him back to align with the vertical line of his original starting point (point X).
Visual Representation
- Starting Point (X): (0,0)
- Point Y: After moving straight up 80 metres, it is at (0,80).
- After First Turn: He is now at (50,80).
- After Second Turn: He moves down to (50,10) (80 - 70 = 10).
- After Final Turn: He walks to (0,10).
Calculating the Distance
- To find the distance from the starting point (0,0) to his final position (0,10):
- The distance is the vertical distance down to 10 metres.
Thus, the final distance from point X is 10 metres.
Conclusion
Raj is 10 metres away from his starting point, confirming that the correct answer is option 'A'.
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Raj travelled from a point X straight to Y at a distance of 80 metres. He turned right and walked 50 metres, then again turned right and walked 70 metres. Finally, he turned right and walked 50 metres. How far is he from the starting point?a)10 metresb)20 metresc)50 metresd)70 metresCorrect answer is option 'A'. Can you explain this answer?
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