Question : A village canal can be cleaned by 24 villagers in 12 days. The number of days in which 36 villagers can clean the canal is:
Option 1: 18
Option 2: 8
Option 3: 72
Option 4: 16
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Correct Answer: 8
Solution :
Let the work be $x$ and the same for both cases. By using the formula: $\frac{M_1×T_1}{W_1}=\frac{M_2×T_2}{W_2}$ Where $M_1$ and $M_2$ are men, $D_1$ and $D_2$ are days and $W_1$ and $W_2$ are work done.
According to the question,
$\frac{24×12}{x}=\frac{36×T_2}{x}$
⇒ $T_2=\frac{24×12}{36}$
⇒ $T_2=8$ days
Hence, the correct answer is 8.
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