Question

A 30 m metric chain is found to be 10 cm too short throughout a measurement. If the distance measured is recorded as 300 m, what is the actual distance?
1. 300.1 m
2. 301.0 m
3. 299.0 m
4. 310.0 m

Answer 1

Correct Answer - Option 3 : 299.0 m

\({\rm{True\;length\;of\;chain}} \times {\rm{true\;measurement}} = {\rm{incorrect\;length\;of\;chain}} \times {\rm{incorrect\;measurement}}\)

Hence, True measurement =  \(\frac{{{\rm{incorrect\;length\;of\;chain}} \times {\rm{incorrect\;measurement}}}}{{{\rm{true\;measurement}}}} = \;\frac{{29.9 \times 300}}{{30}} = 299\)