Answer:
Laura drives for [tex]36\ \text{minutes}[/tex] while Jackie drives for [tex]51\ \text{minutes}[/tex]
Step-by-step explanation:
Laura's commute is [tex]x\ \text{minutes}[/tex]
Jackie's commute is
[tex]x+15[/tex]
Laura drives 12 minutes for every 17 minutes Jackie drives so
For every minutes Laura drives Jackie drives [tex]\dfrac{17}{12}\ \text{minutes}[/tex]
So,
[tex]\dfrac{17}{12}=\dfrac{x+15}{x}\\\Rightarrow 17x=12x+180\\\Rightarrow 5x=180\\\Rightarrow x=\dfrac{180}{5}\\\Rightarrow x=36\ \text{minutes}[/tex]
Hence, Laura drives for [tex]36\ \text{minutes}[/tex] while Jackie drives for [tex]36+15=51\ \text{minutes}[/tex].
