Answer: 33.33 minutes longer.
Step-by-step explanation :
We need to remember the following formula:
[tex]t=\frac{d}{V}[/tex]
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:
[tex]V=5.4\ \frac{mi}{h}[/tex]
Since she plans to run 9 miles on Tuesday, her run's time on Tuesday will be:
[tex]t_1=\frac{9\ mi}{5.4\ \frac{mi}{h}}\\\\t_1=\frac{5}{3}\ h[/tex]
Making the conversion from hours to minutes, we get:
[tex](\frac{5}{3}\ h)(\frac{60\ min}{1\ h})=100\ min[/tex]
Since she plans to run 12 miles on Thursday, her run's time on that day will be:
[tex]t_2=\frac{12\ mi}{5.4\ \frac{mi}{h}}\\\\t_2=\frac{20}{9}\ h[/tex]
Making the conversion from hours to minutes, we get:
[tex](\frac{20}{9}\ h)(\frac{60\ min}{1\ h})=133.33\ min[/tex]
Finally in order to find how many longer will her run be on Thursday compared to Tuesday, we need to make the following subtraction:
[tex]t_2-t_1=133.33\ min-100\ min=33.33\ min[/tex]
