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Given :
A school has 8 periods a day each of 45 minutes duration.
So, if the school hours of school is fixed then there exists an inverse relationship between each period duration and the number of periods.
We can take the time of each period to be 't' if the school has 9 periods a day.
Hence we can write the relation as;
The time of each period would be 40 minutes when 9 periods are there in one day.