Question
Download Solution PDF9 boys or 11 girls can complete a work in 12 days. In how many days can 6 boys and 22 girls finish the same work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
9 boys or 11 girls can complete the work in 12 days
Formula used:
Total work = Number × Days × Efficiency
Work is same for boys and girls, so equate efficiencies:
9 boys = 11 girls ⇒ 1 boy = 11/9 girls
Calculation:
We have 6 boys and 22 girls
Convert 6 boys to girls: 6 × 11/9 = 66/9 = 22/3 girls
Total = 22 + 22/3 = (66 + 22)/3 = 88/3 girls
11 girls do work in 12 days
⇒ Total work = 11 × 12 = 132 girl-days
Now, time = Total work ÷ Total effective girls
Time = 132 ÷ (88/3) = 132 × 3 ÷ 88
⇒ Time = 396 ÷ 88 = 4.5 days or \(4 \dfrac{1}{2} \text{ days} \)
∴ 6 boys and 22 girls can complete the work in \(4 \dfrac{1}{2} \text{ days} \)
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