One man or two women or three boys can do a piece of work in 88 days. One man, one woman and one boy will do it in ?

Solution(By Examveda Team)

$$\eqalign{ & {\text{According to the question,}} \cr & {\text{1 man}} = {\text{2 women}} = {\text{3 boys}} \cr & {\text{1 man}} = {\text{2 women}} \cr & {\text{1 man}} = {\text{3 boys}} \cr & \frac{1}{2}{\text{ man}} = 1{\text{ women}} \cr & \frac{1}{3}{\text{ man}} = {\text{1 boys}} \cr & = {\text{1 man}} = 1{\text{ woman}} = 1{\text{ boys}} \cr & = {\text{1 man}} = \frac{1}{2}{\text{man}} = \frac{1}{3}{\text{ man}} \cr & = \frac{{11}}{6}{\text{ man}} \cr} $$
1 man can complete a work in 88 days
$$\eqalign{ & \frac{{11}}{6}{\text{man can complete a work in}} \cr & = \frac{{88}}{{\frac{{11}}{6}}}\, = 48{\text{ days }} \cr} $$