Question

$11$ men 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

$11$ men dig $6\frac{3}{4}mt=\frac{27}{4}mt$ in one day

$\Rightarrow$ $1$ man can dig $=\frac{27}{4\times 11}=\frac{27}{44}mt$ in one day

$\therefore$ $27$ metre can be dug by $(\frac{44}{27}\times 27)$ men in one day

$\Rightarrow$ $27$ metre long trench of the same type can be dug by $44$ men in one day.