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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?

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Let the duration of each period, when there are 9 periods a day in the school, be x minutes. The following table is obtained.

Duration of each period (in minutes)45x
Number of periods89

If there is more number of periods a day in the school, then the duration of each period will be lesser. Hence, this is a case of inverse proportion. 

Therefore 45 × 8 = x × 9

x = (45 x 8)/9 = 40

Hence, in this case, the duration of each period will be 40 minutes.

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