Answer: 33.33 minutes longer.
Step-by-step explanation :
We need to remember the following formula:
![t=\frac{d}{V}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bd%7D%7BV%7D)
Where "t" is the time, "d" is the distance and "V" is the speed.
We know that she runs approximately 5.4 miles per hour, then:
![V=5.4\ \frac{mi}{h}](https://tex.z-dn.net/?f=V%3D5.4%5C%20%5Cfrac%7Bmi%7D%7Bh%7D)
Since she plans to run 9 miles on Tuesday, her run's time on Tuesday will be:
![t_1=\frac{9\ mi}{5.4\ \frac{mi}{h}}\\\\t_1=\frac{5}{3}\ h](https://tex.z-dn.net/?f=t_1%3D%5Cfrac%7B9%5C%20mi%7D%7B5.4%5C%20%5Cfrac%7Bmi%7D%7Bh%7D%7D%5C%5C%5C%5Ct_1%3D%5Cfrac%7B5%7D%7B3%7D%5C%20h)
Making the conversion from hours to minutes, we get:
![(\frac{5}{3}\ h)(\frac{60\ min}{1\ h})=100\ min](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B3%7D%5C%20h%29%28%5Cfrac%7B60%5C%20min%7D%7B1%5C%20h%7D%29%3D100%5C%20min)
Since she plans to run 12 miles on Thursday, her run's time on that day will be:
![t_2=\frac{12\ mi}{5.4\ \frac{mi}{h}}\\\\t_2=\frac{20}{9}\ h](https://tex.z-dn.net/?f=t_2%3D%5Cfrac%7B12%5C%20mi%7D%7B5.4%5C%20%5Cfrac%7Bmi%7D%7Bh%7D%7D%5C%5C%5C%5Ct_2%3D%5Cfrac%7B20%7D%7B9%7D%5C%20h)
Making the conversion from hours to minutes, we get:
![(\frac{20}{9}\ h)(\frac{60\ min}{1\ h})=133.33\ min](https://tex.z-dn.net/?f=%28%5Cfrac%7B20%7D%7B9%7D%5C%20h%29%28%5Cfrac%7B60%5C%20min%7D%7B1%5C%20h%7D%29%3D133.33%5C%20min)
Finally in order to find how many longer will her run be on Thursday compared to Tuesday, we need to make the following subtraction:
![t_2-t_1=133.33\ min-100\ min=33.33\ min](https://tex.z-dn.net/?f=t_2-t_1%3D133.33%5C%20min-100%5C%20min%3D33.33%5C%20min)