Ex 13.2, 11 A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
Given,
If a school has 8 periods, duration of each period is 45 minutes
We need to find how long each period should be if number of periods is 9
Let the duration of each period be 𝑦 minutes
Thus, our table looks like
As we increase the number of periods,
the duration of each period decreases
(Since school hours remain the same)
∴ They are in inverse proportion
8 × 45 = 9 × 𝑦
(8 × 45)/9 = 𝑦
8 × 5 = 𝑦
40 = 𝑦
𝑦 = 40 minutes
∴ Duration of each period will be 40 minutes

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.

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