Question : 36 equally efficient workers can paint 25 identical walls in 48 days. In how many days can 45 such workers paint 60 such walls?
Option 1: 92.36
Option 2: 92.16
Option 3: 91.96
Option 4: 91.16
Correct Answer: 92.16
Solution :
Given,
36 equally efficient workers can paint 25 identical walls in 48 days.
⇒ One worker can paint 25 walls in 48 × 36
⇒ One worker can paint one wall in $\frac{48 × 36}{25}$
⇒ $\frac{1728}{25}$ days
⇒ 45 workers can paint 1 wall in $\frac{\frac{1728}{25}}{45}$
⇒ 45 workers can paint 60 walls in $\frac{1728}{25\times 45}\times60$
⇒ 92.16 days
Hence, the correct answer is 92.16 days.
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