Jason's mom drove at 100km/h for a160km trip.How much longer would the trip take if she drives 90km/h
Answers
Answer:
Answer: 0.17\ hours0.17 hours or 10\ minutes\ and\ 40\ seconds10 minutes and 40 seconds
Step-by-step explanation:
For this exercise you must use the following formula:
V=\frac{d}{t}V=
t
d
Where "V" is the speed, "d" is the distance and "t" is the time.
Solving for "t":
t=\frac{d}{V}t=
V
d
You know that Jason's mom drove a distance of 160\ km160 km at 100\ \frac{km}{h}100
h
km
. Then, we can say that:
\begin{gathered}V_1=100\ \frac{km}{h}\\\\d=160\ km\end{gathered}
V
1
=100
h
km
d=160 km
Then, the time is:
\begin{gathered}t_1=\frac{160\ km}{100\ \frac{km}{h}}\\\\t_1=\frac{8}{5}\ h\end{gathered}
t
1
=
100
h
km
160 km
t
1
=
5
8
h
If she had driven 90\ \frac{km}{h}90
h
km
:
\begin{gathered}V_2=90\ \frac{km}{h}\\\\d=160\ km\end{gathered}
V
2
=90
h
km
d=160 km
And the time would have been:
\begin{gathered}t_2=\frac{160\ km}{90\ \frac{km}{h}}\\\\t_2=\frac{16}{9}\ h\end{gathered}
t
2
=
90
h
km
160 km
t
2
=
9
16
h
or
Subtracting those times, you get:
\frac{16}{9}\ h-\frac{8}{5}\ h=0.17\ h
9
16
h−
5
8
h=0.17 h or 10\ minutes\ and\ 40\ seconds10 minutes and 40 seconds