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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Answered by
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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.
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