Ex 11.2, 8 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?Given,
42 machines are required to produce articles in 63 days
We need to find number of machines required to produce articles in 54 days
Let number of machines be x
Thus, our table looks like
As we increase the number of machines,
the time taken to produce the articles decreases
(as the total number of articles remains the same)
∴ They are in inverse proportion
42 × 63 = 𝒙 × 54
(42 × 63)/54 = 𝑥
(42 × 7)/6 = 𝑥
7 × 7 = 𝑥
𝒙 = 49
∴ 49 machines will be required to produce the articles

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Hi, it looks like you're using AdBlock :(

Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.

Please login to view more pages. It's free :)

Teachoo gives you a better experience when you're logged in. Please login :)

Solve all your doubts with Teachoo Black!

Teachoo answers all your questions if you are a Black user!