Question

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

Answer 1

Answer:

Step-by-step explanation:

Given,

42 machines are required to produce articles in 63 days

We need to find number of machines required to produce articles

in 54 days

Let number of machines be x

Thus, our table looks like

Number of machines 42. x

Time taken (in days) 63. 54

As we increase the number of machines,

the time taken to produce the articles decreases (as the total number of articles remains the same)

They are in inverse proportion

42 x 63 = x × 54

42 x 63/54 = x

42 x 7/6=x

7 x 7 = x

x = 49

49 machines will be required to produce the articles.

Answer 2

Required Answer

• 36

To find :-

• how many machines would be required to produce the same number of articles in 63 days?

Given :-

• Factory requires 42 machines in number of articles in = 54days
• Same number of articles in= 63days

Solution :-

Here , number of day are constant

So , clearly, it is a cause of indirect proportion

Now,, According to the information

First arranging the information in tabular form

$\star\begin{gathered}\begin{gathered}\begin{array}{|c|c|c|} \\ \rm \: No. \: of \: day\:&\rm \: 54&\rm 63\: \: \\ \\ \rm Number\: of \: machine \: &\rm 42&\rm y \\ \end{array} \\ \\\end{gathered}\end{gathered}$

$\large{ \sf{54 \times 42 = 63 \times y}}$

$\large{ \sf{ \rightarrow54 \times 42 = 63y}}$

$\large{ \sf{ \rightarrow \: \frac{54 \times 42}{63} = y}}$

$\large{ \sf{ \gray{ \rightarrow36 = y}}}$