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