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Q.

A factory required 42 machines to produce a given number of items in 56 days. How many machines would be required to produce the same number of items in 48 days?


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a

46

b

47

c

48

d

49 

answer is D.

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Detailed Solution

Given,
Number of machines required to produce items in 56 days = 42.  Let the number of machines required to produce items in 48 days be x. Then,

Number of machines

42

x

Number of days

56

48

We can clearly observe that, less the number of days, more machines will be required to produce products.
Therefore, this is the case of inverse proportion.
As this is case of inverse proportion, therefore the product will remain constant throughout table that is,
  42×56=x×48   Solving the equation,
48x=42×56 x= 42×56 48 x=49   Hence, number of machines required to produce items in 48 days =49  .
Therefore, option 4 is correct.
 
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