question_answer

A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?

Answer:

Let the number of machines be x.

Machine	42	x
Days	63	54

                                                                                                                                                     

As no. of days decrease no. of machines increase. Hence, this is a case of inverse proportion.

So, no. of machines increase \[x\times 54=42\times 63\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,x=\frac{42\times 63}{54}=49\]

Thus, 49 machines would be required.