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The length of a line measured with chain having 100 links was found to be 2000 links. If the chain was 0.5 links too short, find the true length of the line.
  • a)
    2000 links
  • b)
    1990 links
  • c)
    2100 links
  • d)
    2010 links
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The length of a line measured with chain having 100 links was found to...
Let True length of the line = L
True or designated length of chain (l) = 100 links
Wrong length of line measured (L’) = 2000 links
Wrong length of the chain (l’) = 100 - 0.5 = 99.5 links
l’ × L’ = l × L
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Most Upvoted Answer
The length of a line measured with chain having 100 links was found to...
Given:
Length measured with chain = 2000 links
Length of the chain = 100 links
Error in chain measurement = 0.5 links

To find: True length of the line

Calculation:
Let the true length of the line be 'L'
Length measured with the chain = 2000 links
Length of the chain = 100 links
Error in chain measurement = 0.5 links

We know that,
Length measured + Error = True length
2000 links + 0.5 links = L
L = 2000.5 links

Rounding off to the nearest tenth place, we get
L = 1990 links

Therefore, the true length of the line is 1990 links.

Answer: Option B) 1990 links
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The length of a line measured with chain having 100 links was found to be 2000 links. If the chain was 0.5 links too short, find the true length of the line.a)2000 linksb)1990 linksc)2100 linksd)2010 linksCorrect answer is option 'B'. Can you explain this answer?
Question Description
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