Question

A school opens at 7:30 am and is closed at 1:00 pm with a recess of 30 minutes. Find the ratio between recess and teaching period.

Answer 1

$$\begin{gathered} \mathrm{Opening}\mathrm{time}\mathrm{of}\mathrm{school}=7:30\mathrm{am} \\ \mathrm{Closing}\mathrm{time}\mathrm{of}\mathrm{school}=1:00\mathrm{p}.\mathrm{m}. \\ \mathrm{Now},\mathrm{total}\mathrm{timing}=5\mathrm{hours}30\mathrm{minutes}=5\times 60+30=330\mathrm{minutes} \\ \mathrm{Now},\mathrm{time}\mathrm{for}\mathrm{recess}=30\mathrm{minutes} \\ \mathrm{So},\mathrm{time}\mathrm{for}\mathrm{teaching}\mathrm{periods}=330-30=300\mathrm{minutes} \\ \mathrm{Now}, \\ \frac{\mathrm{time}\mathrm{for}\mathrm{recess}}{\mathrm{time}\mathrm{for}\mathrm{teaching}}=\frac{30}{300}=\frac{1}{10} \end{gathered}$$