Question

The length of a line measured by a 30 m chain was found to be 450 m. If the chain was 0.2 links short, then find the true length of the line.
1. 448.0 m
2. 449.4 m
3. 449.8 m
4. 449.6 m

Answer 1

Correct Answer - Option 2 : 449.4 m

Let True length of the line = L

True or designated length of chain (l) = 150 links

Wrong length of the line measured (L’) = 450 m

Wrong length of the chain (l’) = 150 - 0.2 = 149.8 links

l’ × L’ = l × L

\(L = \frac{{149.80 \times 450}}{{150}} = 449.4\;links\)