If 27 people, working 8 hours a day, can complete a task in 12 days, then in how many days will 18 people finish the task, working 9 hours a day?

Given,

27 people working 8 hours a day can complete the task in 12 days

$$=$$>  $$M_1=27$$,  $$d_1=12$$,  $$h_1=8$$

Let 18 people working 9 hours a day can complete the task in $$d_2$$ days

$$=$$>  $$M_2=18$$,  $$h_2=9$$

Let the total work = W

we know that $$\frac{M_1\times d_1\times h_1}{W_1}=\frac{M_2\times d_2\times h_2}{W_2}$$

$$=$$>  $$\frac{27\times12\times8}{W}=\frac{18\times d_2\times9}{W}$$

$$=$$>  $$d_2=$$ 16 days

Hence, the correct answer is Option C