Question

$16$ men can complete a piece of work in $8$ days. In how many days can $12$ men complete the same piece of work?

• A. $11\frac{1}{5}$ days
• B. $10\frac{2}{3}$ days
• C. $10\frac{1}{7}$ days
• D. $11\frac{5}{2}$ days

Answer 1

Answer: (B)

$10\frac{2}{3}$ days

$16$ men can complete a piece of work in $8$ days
$\therefore 1$ man can complete the work in $(16\times 8)$ days (Less men more days so multiply)
$\therefore 12$ men can complete the work in $\frac{(16\times 8)}{12}$ days (More men less days, so divide)
$=\frac{32}{3}$ days $=10\frac{2}{3}$ days.