Question

If 36 men can do a piece of work in 25 days, in how many days will 15 men do it?

 

Answer 1

Let x be the number of days in which 15 men can do a piece of work.

Number of men	36	15
Number of days	25	x

\[\text{ Since the number of men hired and the number of days taken to do a piece of work are in inverse variation, we have } : \]
\[36 \times 25 = x \times 15\]
\[ \Rightarrow x = \frac{36 \times 25}{15}\]
\[ = \frac{900}{15}\]
\[ = 60\]
\[\text{ Thus, the required number of days is 60 }  .\]