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Question -

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?



Answer -

If the number of machines is increased then less number of days would be required to produced the same number of articles.
Thus, the two quantities are in inverse proportion.

Number of machines

Number of days

42

63

x

54

Let the requirednumber of machines be x.
x
1y1 = x2y2
42 × 63 = x × 54
x = 49
Hence, the required number of machines is 49.

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