Question

1200 men can finish a stock of food in 35 days. How many more men should join them so that the same stock may last for 25 days?

Answer 1

Number of men	1200	x
Days	35	25

Let x be the number of additional men required to finish the stock in 25 days.

\[\text{ Since the number of men and the time taken to finish a stock are in inverse variation, we have } : \]
\[1200 \times 35 = 25x\]
\[ \Rightarrow x = \frac{1200 \times 35}{25}\]
\[ = 1680\]
\[ \therefore \text{ Required number of men } = 1680 - 1200 = 480\]
\[\text{ Thus, an additional 480 men should join the existing 1200 men to finish the stock in 25 days }  .\]