Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A 30 m chain was found to be 15 cm too short ...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
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.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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 detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup