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?
Solution:
Let the number of machines be y and the number of days be x.
If the number of days decreases, the number of machines required will increase. So, they are inverse proportion.
Two numbers x and y are said to be in inverse proportion when an increase in one quantity decreases the other quantity and vice versa.
xy = k or x = (1/y) k
where k is a constant.
Hence, x₁y₁ = x₂y₂
63 × 42 = 54 × y₂
y₂ = (42 × 63)/54
y₂ = 49
Thus, 49 machines will be required to produce the same number of articles in 54 days.
☛ Check: NCERT Solutions for Class 8 Maths Chapter 13
Video Solution:
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?
NCERT Solutions Class 8 Maths Chapter 13 Exercise 13.2 Question 8
Summary:
A factory requires 42 machines to produce a given number of articles in 63 days. 49 machines would be required to produce the same number of articles in 54 days.
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