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प्रश्न
A work force of 50 men with a contractor can finish a piece of work in 5 months. In how many months the same work can be completed by 125 men?
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उत्तर
Let x be the number days required to complete a piece of work by 125 men.
| Number of men | 50 | 125 |
| Months | 5 | x |
\[\text{ Since the number of men engaged and the number of days taken to do a piece of work are in inverse variation, we have: } \]
\[ 50 \times 5 = 125x\]
\[ \Rightarrow x = \frac{50 \times 5}{125}\]
\[ = 2\]
\[\text{ Thus, the required number of months is 2 } .\]
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