Question

18 men can reap a field in 35 days. For reaping the same field in 15 days, how many men are required?

Answer 1

Let the number of men required to reap the field in 15 days be x.
 

Number of days	35	15
Number of men	18	x

\[\text{ Since the number of days and the number of men required ro reap the field are in inverse variation, we have: }  \]
\[35 \times 18 = 15 \times x\]
\[ \Rightarrow x = \frac{35 \times 18}{15}\]
\[ = 42\]
\[\text{ Thus, the required number of men is 42 } .\]