56 men can complete a piece of work in 24 days. In how many days can 42 men complete the same piece of work ?

Solution (By Examveda Team)

Let the required number of days be x
Less men, More days (Indirect proportion)
$$\eqalign{ & \therefore 42:56::24:x \cr & \Leftrightarrow 42 \times x = 56 \times 24 \cr & \Leftrightarrow x = \left( {\frac{{56 \times 24}}{{42}}} \right) \cr & \Leftrightarrow x = 32 \cr} $$