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4 girls can do a piece of work in 9 days, same work 3 boys can do in 8 days, then 10 girls and 8 boys take to finish the work in together. how many days they complete the work?


1. 12/11 days
2. 11/16 days
3. 18/11 days
4. 11/12days

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Correct Answer - Option 3 : 18/11 days

Given:

4 girls can do a piece of work in 9 days and  3 boys can do a piece of work in 8 days

Calculation:

4 girls can do work in 9 days = 3 boys can do work in 8 days

⇒ 4 girls × 9 days = 3 boys × 8 days 

⇒ Girl/ boy =2/3         

According to question,

⇒ (10 girls + 8 boys) × days = (4 girls × 9 days)

Put the value of boys and girls in the following equation

⇒ (20 + 24) × days = ( 4 × 2 × 9)

⇒ 44 × days = 72 

⇒ Days = 72/44

⇒ Days = 18/11

 ∴ 10 girls and 8 boys can complete to 18/11 days

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