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A 30 m chain was found to be 15 cm too short after chaining a distance of 2000 m. It was found to be 30 cm too short at the end of the days work after chaining a distance of 4000 m. Find the true distance if the chain was corrected before the commencement of the day’s work?
- a)4000 m
- b)3970 m
- c)4020 m
- d)3980 m
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A 30 m chain was found to be 15 cm too short after chaining a distance...
For the first 200 m,
Average error (e) =
Incorrect length of chain [L’] = 30 – 0.075
L’ = 29.925 m
Measured length from chain (l’) = 2000 m
True/designated length of chain [L] = 30 m
True length of line (l1):
l1 × L = l’ × L’
l1 × 30 = 2000 × 29.925
l1 = 1995 m
for the next 2000 m,
Average error (e) =
Incorrect length of the chain (L’) = 30 – 0.225
L’ = 29.775 m
Measured length of chain (l’) = 2000 m
True length of the line = l
L’ × l’ = L × l2
29.775 × 2000 = 30 × l
l2 = 1985 m
True distance will be = l1 + l2
l = 1995 + 1985
l = 3980 m
Most Upvoted Answer
A 30 m chain was found to be 15 cm too short after chaining a distance...
Let the true length of the chain be x meters.
According to the problem,
When the chain was used to measure 2000 m, it fell short by 15 cm.
Therefore, the measured distance = 2000 m - 15 cm = 1999.85 m
We can set up the following proportion:
Measured distance / True distance = Measured length of chain / True length of chain
1999.85 / x = 2000 / 30
Simplifying, we get:
x = 30000 / (1999.85/2000) = 30015.01 meters (approx)
Similarly, when the chain was used to measure 4000 m, it fell short by 30 cm.
Therefore, the measured distance = 4000 m - 30 cm = 3999.7 m
Using the same proportion as above, we get:
x = 30000 / (3999.7/4000) = 30007.51 meters (approx)
Taking the average of the two values of x, we get:
x = (30015.01 + 30007.51) / 2 = 30011.26 meters (approx)
Therefore, the true distance is approximately 30,011.26 meters.
According to the problem,
When the chain was used to measure 2000 m, it fell short by 15 cm.
Therefore, the measured distance = 2000 m - 15 cm = 1999.85 m
We can set up the following proportion:
Measured distance / True distance = Measured length of chain / True length of chain
1999.85 / x = 2000 / 30
Simplifying, we get:
x = 30000 / (1999.85/2000) = 30015.01 meters (approx)
Similarly, when the chain was used to measure 4000 m, it fell short by 30 cm.
Therefore, the measured distance = 4000 m - 30 cm = 3999.7 m
Using the same proportion as above, we get:
x = 30000 / (3999.7/4000) = 30007.51 meters (approx)
Taking the average of the two values of x, we get:
x = (30015.01 + 30007.51) / 2 = 30011.26 meters (approx)
Therefore, the true distance is approximately 30,011.26 meters.
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A 30 m chain was found to be 15 cm too short after chaining a distance of 2000 m. It was found to be 30 cm too short at the end of the days work after chaining a distance of 4000 m. Find the true distance if the chain was corrected before the commencement of the day’s work?a)4000 mb)3970 mc)4020 md)3980 mCorrect answer is option 'D'. Can you explain this answer?
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A 30 m chain was found to be 15 cm too short after chaining a distance of 2000 m. It was found to be 30 cm too short at the end of the days work after chaining a distance of 4000 m. Find the true distance if the chain was corrected before the commencement of the day’s work?a)4000 mb)3970 mc)4020 md)3980 mCorrect answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A 30 m chain was found to be 15 cm too short after chaining a distance of 2000 m. It was found to be 30 cm too short at the end of the days work after chaining a distance of 4000 m. Find the true distance if the chain was corrected before the commencement of the day’s work?a)4000 mb)3970 mc)4020 md)3980 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 30 m chain was found to be 15 cm too short after chaining a distance of 2000 m. It was found to be 30 cm too short at the end of the days work after chaining a distance of 4000 m. Find the true distance if the chain was corrected before the commencement of the day’s work?a)4000 mb)3970 mc)4020 md)3980 mCorrect answer is option 'D'. Can you explain this answer?.
A 30 m chain was found to be 15 cm too short after chaining a distance of 2000 m. It was found to be 30 cm too short at the end of the days work after chaining a distance of 4000 m. Find the true distance if the chain was corrected before the commencement of the day’s work?a)4000 mb)3970 mc)4020 md)3980 mCorrect answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A 30 m chain was found to be 15 cm too short after chaining a distance of 2000 m. It was found to be 30 cm too short at the end of the days work after chaining a distance of 4000 m. Find the true distance if the chain was corrected before the commencement of the day’s work?a)4000 mb)3970 mc)4020 md)3980 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 30 m chain was found to be 15 cm too short after chaining a distance of 2000 m. It was found to be 30 cm too short at the end of the days work after chaining a distance of 4000 m. Find the true distance if the chain was corrected before the commencement of the day’s work?a)4000 mb)3970 mc)4020 md)3980 mCorrect answer is option 'D'. Can you explain this answer?.
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