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6 boys or 10 girls can do a piece of work in 24 days. How much time will 12 boys and 10 girls take to finish the work?
1. 8 days
2. 10 days
3. 6 days
4. 12 days

1 Answer

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Best answer
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.

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