8th Class Mathematics Direct and Inverse Proportions

  • question_answer 18)                 A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required produce the same number of articles in days?

    Answer:

                    Suppose that x machines would required. We have the following table.                

    Number of machines 42 \[x\]
    Number of days 63 54
      Lesser the number of machines, more will be the number of days to produce the same number of articles. So, this is a case of inverse proportion. Hence,   \[42\times 63=x\times 54\] \[\Rightarrow \]               \[x=\frac{42\times 63}{54}\] \[\Rightarrow \]               \[x=49\] Hence, 49 machines would be required.

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