A school has 8 periods a day each of 45 minutes duration . How long would each periods a day, assuming the number of school hours to be the same
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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 × 45) ÷ 9
= 40
Hence, the duration of period is 40 minutes.
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