Question : Working 7 hours a day, 18 persons can complete a certain work in 32 days. In how many days would 14 persons complete the same work, working 8 hours a day?
Option 1: 42
Option 2: 30
Option 3: 35
Option 4: 36
Correct Answer: 36
Solution :
Given: Working 7 hours a day, 18 persons can complete a certain work in 32 days.
Usse the formula, $M_1\times D_1 \times T_1=M_2\times D_2 \times T_2$, where $M_1$, $M_2$, $D_1$, $D_2$, $T_1$ and $T_2$ are the men, days and time respectively.
⇒ $18\times 32 \times 7=14\times D_2 \times 8$
⇒ $D_2=36$ days
Hence, the correct answer is 36.
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