Question

Question 11.
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?

Answer 1

Let the duration of each period be x
$\begin{array}{ccc}Period& 8& 9\\ Durationofperiod\left(inminutes\right)& 45& x\end{array}$
Here the number of periods and the duration of periods are in inverse proportion.

$\therefore \frac{8}{9}=\frac{x}{45}\Rightarrow x\times 9=8\times 45\Rightarrow x=\frac{8\times 45}{9}=40minutes$
Hence, the duration of each period would be 40 minutes.