Question

4. A factory requires 84 machines to produce a given number of articles in
32 days. How many machines would be required to produce the same
number of articles in 21 days?​

Answer 1

Answer:

55 days

Step-by-step explanation:

Because,

84 machines prepare 32 days to build ‘n’ number of articles!

Therefore, 84 machines ÷ 32 days = 2.625 machines per day for same number of articles.

While, if the production rate is same.

Then, 21 days × 2.625 machines per day = 55 days.

Answer 2

Correct option is A)

If the articles are to be produced in lesser number of days, more machines are required.

Hence, the number of machines and number of articles are in inverse proportion.

Let the number of machines required to make the articles in 54 days be a

Then, 42:a:: inverse ratio of 63:54

=>42:a=54:63

Applying the rule, product of extremes = product of means

42×63=a×54

a=

54

42×63

a=49

Hence, 49 machines are required to make the articles in 54 days.