Question : If 25 persons can complete a work in 140 days, then how many persons will be required to complete the same work in 70 days?
Option 1: 70
Option 2: 50
Option 3: 40
Option 4: 80
Correct Answer: 50
Solution :
The relation between men and the number of days is given by:
$M_1D_1= M_2D_2$
Where $M_1$ and $M_2$ are men and $D_1$ and $D_2$ are days.
According to the question,
$25 × 140 = 70 × M_{2}$
$⇒ M_{2} = \frac{(25×140)}{70}$
$⇒ M_{2} = 25 × 2 = 50$ men
∴ 50 men will be required to complete the work in 70 days.
Hence, the correct answer is 50.
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