A school has 8 periods at day each of 45 minutes duration. How long would each period be ? The school has 9 periods a day, assuming the number of school hours to be the same ?

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Solution

Let x minutes be the duration of period when the school has 9 periods a day. Then
Number of periods 8 9
Duration of periods (in minutes) 45 x
Clearly, more the periods, less will be the duration of the period.
So, it is a case of inverse proportion.
$∴ 8 \times 45 = 9 \times x$
$\Rightarrow x = \frac{8 \times 45}{9} = 40$
Hence, the duration of period is 40 minutes.

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