Question 08.
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?

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Solution

Let the number of machines required be x.
$\begin{matrix} D a y s & 63 & 54 M a c h i n e s & 42 & x \end{matrix}$
Here, the number of machines and the number of days are in inverse proportion.

$∴ \frac{63}{54} = \frac{x}{42} \Rightarrow x \times 54 = 63 \times 42 \Rightarrow x = \frac{63 \times 42}{54} = 49$
Hence, 49 machines would be required.

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Question 08. 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?

Let the number of machines required be x. Days6354Machines42x Here, the number of machines and the number of days are in inverse proportion. ∴ 6354=x42⇒ x×54=63×42⇒ x=63×4254=49 Hence, 49 machines would be required.

Question 08.
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?