Question

11 men can dig \[6\frac{3}{4}\] metre long trench in one day. How many men should be employed for digging 27 metre long trench of the same type in one day?

 

 

Answer 1

Let x be the number of men required to dig a trench of 27 metre.

Number of men	11	x
Length (in m)	\[\frac{27}{4}\]   \[\frac{27}{4}\]	27

\[\text{ Since the length of the trench and the number of men are in direct variation, we have: }  \]
\[\frac{11}{x} = \frac{27/4}{27}\]
\[ \Rightarrow 11 \times 27 = x \times \frac{27}{4}\]
\[ \Rightarrow x = \frac{11 \times 27 \times 4}{27}\]
\[ = 44\]
\[\text{ Thus, 44 men will be required to dig a trench of 27 metre  } .\]