# Q8. 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?

Given that a factory requires 42 machines to produce a given number of articles in 63 days.

Then we know that as the number of machines increases the time taken to produce a given number of articles decreases. Hence there holds an inverse relation here,

And let the number of machines required to produce the same number of articles in 54 days be 'x'.

Then the relation;

$42\times 63days = x\times 54days$            or         $x = 49$.

Hence 49 machines would be required to produce the articles in 54 days.

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