According to the above given formula, If M₁ persons can do W₁ work in D₁ days working T₁ hours a day and M₂ persons can do W₂ work in D₂ days working T₂ hours a day then, M₁D₁T₁W₂= M₂D₂T₂W₁

M₁=10, T₁=12, M₂=24, T₂=16, W₁=20, W₂=32, D₁=12, D₂=?

$$\begin{gathered} 10\times 12\times 12\times 32= 24\times {\mathrm{D}}_2\times 16\times 20 \\ {\mathrm{D}}_2=\frac{10\times 12 \times 12\times 32}{24\times 16\times 20} =\frac{12}{2}=6 \mathrm{days} \end{gathered}$$

Hence, 24 writers cab write 32 books in 6 days working for 16 hours a day

Hence option B is correct