Given in the question,

2 children= 1 man

∴ (16 children + 24 men)= (8+24) men = 32 men

We shall use the formula, M₁ D₁ W₂ = M₂ D₂ W₁

Here,

M₁ = 32, D₁ =18, W₁ =1,

M₂ = 24, D₂ = ?, W₂ = 1,

⇒ 32×18×1=24×D₂×1

D_{2$=\frac{32\times 18}{24}=8\times 3=24 days$}

Hence option B is the correct.