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. ∴8×45=9×x ⇒x=8×459=40 Hence, the duration of period is 40 minutes.