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:
M1D1W2 = M2D2W1
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
M1D1W2 = M2D2W1
⇒ 10 × 24 × 1 = 30 × D2 × 1
⇒ D2 = 10 × 24/30
⇒ D2 = 8 days
∴ 12 boys and 10 girls will take 8 days to finish the work.
