Discussion Forum

Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in :

Answer:

Explanation:

Let $x$ men can do the work in $12$ days and the required number of days be $z$.

More men, Less days (Indirect Proportion)

Less work, Less days (Direct Proportion)

$\left\{\begin{array}{c}Men\quad 2x:x\\ Work\quad 1:\frac{1}{2}\end{array}\right\}::12:z$

$\therefore (2x\times 1\times z)$ $= \left(x\times\frac{1}{2}\times 12\right)$  

$2xz=6x$  $z =3$