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A 30 m metric chain is found to be 20 cm too long throughout a measurement. If the distance measured is recorded as 300 m, what is the actual distance?
  • a)
    300.1m
  • b)
    300.2 m
  • c)
    298.0 m
  • d)
    302.0 m
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A 30 m metric chain is found to be 20 cm too long throughout a measure...
 
True length of chain × true measurement = incorrect length of chain × incorrect measurement
Hence, True measurement = 
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Most Upvoted Answer
A 30 m metric chain is found to be 20 cm too long throughout a measure...
Given:
- Length of metric chain = 30 m
- Error in metric chain = 20 cm
- Recorded distance = 300 m

To find: Actual distance measured

Solution:
1. Calculate the correction factor for the metric chain:
- Error in metric chain = 20 cm = 0.2 m
- Correction factor = Actual length of chain / Measured length of chain
- Measured length of chain = 30 m + 0.2 m = 30.2 m
- Correction factor = Actual length of chain / 30.2
- Actual length of chain = Correction factor x 30.2

2. Calculate the actual distance measured:
- Actual distance = Recorded distance x Correction factor
- Actual distance = 300 x (Actual length of chain / 30.2)
- Actual distance = 302.0 m (Option D)

Therefore, the actual distance measured is 302.0 m.
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A 30 m metric chain is found to be 20 cm too long throughout a measurement. If the distance measured is recorded as 300 m, what is the actual distance?a)300.1mb)300.2 mc)298.0 md)302.0 mCorrect answer is option 'D'. Can you explain this answer?
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