Answer:
41 minutes
Explanation:
Consider the diagram below:
The angle between the hour and minute hand = 30°+80°=110°
We determine the time she starts below:
[tex]\begin{gathered} \text{A rotation by }90\degree\text{ moves the minute hand 15 minutes} \\ \implies\text{A rotation by 1}\degree\text{ moves the minute hand }\frac{\text{15}}{90}\text{ minutes} \\ \implies\text{A rotation by 100}\degree\text{ moves the minute hand }\frac{\text{15}}{90}\times100 \\ \approx17\text{ minutes} \end{gathered}[/tex]She left home at 7:17 AM.
Next, we determine the time she arrived at school.
[tex]\implies\text{A rotation by 10}\degree\text{ moves the minute hand }\frac{\text{15}}{90}\times10\approx2\text{ minutes}[/tex]This means that she arrived at school at 7:58 AM.
Therefore, the number of minutes she takes to walk to school will be:
[tex]\begin{gathered} 7\colon58-7\colon17 \\ =41\text{ minutes} \end{gathered}[/tex]It
