• # question_answer 1)                 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?

 Number of periods 8 9 Length of each period (in minutes) 45 $x$
We note that more the number of periods, lesser would be the length of each period. Therefore, this is case of inverse proportion. So,           $8\times 45=9\times x$ $\Rightarrow$               $x=\frac{8\times 45}{9}$ $\Rightarrow$               $x=40$                 Hence, each period would be 40 minutes long.