Question

If 12 men can do a piece of work in 18 days , in how many days will 8 men complete it ?

• A. $12$
• B. $27$
• C. $10$
• D. $\frac{16}{3}$

Answer 1

Answer: (B)

$\Rightarrow$ Let the required number of days be $x.$

$\Rightarrow$ Less men, More days (Indirect Proportion)

$\Rightarrow$ $8:12::18:x$

$\therefore$ $\frac{8}{12}=\frac{18}{x}$

$\therefore$ $8x=12\times 18$

$\therefore$ $x=\frac{216}{8}$

$\therefore$ $x=27days$

$\therefore$ Required number of days are $27$.