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?
Answers
Answer:
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.
Step-by-step explanation:
Answer:
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
49 machines are required to make the articles in 54 days.
