Question

12 men can complete one third of the work in 8 days in how many days can 16 men complete the whole work

Answer 1

12 men - 8 days

16 men - x days

$12x=16\cdot8\\12x=128\\\\x=\dfrac{128}{12}=\dfrac{32}{3}$

$\dfrac{32}{3}$ days - $\dfrac{1}{3}$ of the work

x days - the whole work

$\dfrac{1}{3}x=\dfrac{32}{3}\\\\x=32$

32 days