Answer :
Answer: [tex]0.17\ hours[/tex] or [tex]10\ minutes\ and\ 40\ seconds[/tex]
Step-by-step explanation:
For this exercise you must use the following formula:
[tex]V=\frac{d}{t}[/tex]
Where "V" is the speed, "d" is the distance and "t" is the time.
Solving for "t":
[tex]t=\frac{d}{V}[/tex]
You know that Jason's mom drove a distance of [tex]160\ km[/tex] at [tex]100\ \frac{km}{h}[/tex]. Then, we can say that:
[tex]V_1=100\ \frac{km}{h}\\\\d=160\ km[/tex]
Then, the time is:
[tex]t_1=\frac{160\ km}{100\ \frac{km}{h}}\\\\t_1=\frac{8}{5}\ h[/tex]
If she had driven [tex]90\ \frac{km}{h}[/tex]:
[tex]V_2=90\ \frac{km}{h}\\\\d=160\ km[/tex]
And the time would have been:
[tex]t_2=\frac{160\ km}{90\ \frac{km}{h}}\\\\t_2=\frac{16}{9}\ h[/tex] or
Subtracting those times, you get:
[tex]\frac{16}{9}\ h-\frac{8}{5}\ h=0.17\ h[/tex] or [tex]10\ minutes\ and\ 40\ seconds[/tex]