Question : If 45 persons can complete a work in 18 days, working 8 hours a day, then how many persons are required to complete two-thirds of the same work in 20 days, working 9 hours a day?
Option 1: 36
Option 2: 40
Option 3: 30
Option 4: 24
Correct Answer: 24
Solution : We know, $\frac{M_1 × D_1 × T_1}{W_1} = \frac{M_2 × D_2 × T_2}{W_2}$, where $M$ is the number of men, $D$ is the number of days, $T$ is the time in hours and $W$ is the work done. ⇒ $\frac{45 × 18 × 8}{1} = \frac{M_2 × 20 × 9}{\frac23}$ ⇒ $M_2= \frac{45 × 18 × 8 × 2}{3 × 20 × 9}$ ⇒ $M_2= 24$ Hence, the correct answer is 24.
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