Correct Answer - Option 1 : 8 days

**Given:**

6 boys = 10 girls

6 boys or 10 girls can complete a work in = 24 days

**Formula Used:**

M_{1}D_{1}W_{2} = M_{2}D_{2}W_{1}

**Calculation:**

6 boys = 10 girls

∴ 1 boy = 10/6 girls = 5/3 girls

∴ 12 boys + 10 girls

⇒ 12 × (5/3) + 10 girls

⇒ (20 + 10) girls

⇒ 30 girls

M_{1}D_{1}W_{2} = M_{2}D_{2}W_{1}

⇒ 10 × 24 × 1 = 30 × D_{2} × 1

⇒ D_{2 }= 10 × 24/30

⇒ D_{2 }= 8 days

**∴**** 12 boys and 10 girls will take 8 days to finish the work.**