22 men can dig a 27 m long trench in one day. How many men should be employed for digging 135 m long trench of the same type in one day ?

Let the x men be employed for digging 135 m long trench in one day.

Since it is a case of direct variation,

$\therefore \dfrac{22}{27} = \dfrac{x}{135}\\[1em] \Rightarrow x = \dfrac{22 \times 135}{27}\\[1em] \Rightarrow x = \dfrac{2,970}{27}\\[1em] \Rightarrow x = 110$

Hence, 110 men should be employed for digging 135 m long trench in one day.