Answer
$11$ hours
Work Step by Step
The given function is
$\Rightarrow T(x)=\frac{470}{x+70}+\frac{250}{x+65}$.
Replace $x$ with $0$.
$\Rightarrow T(0)=\frac{470}{0+70}+\frac{250}{0+65}$.
Simplify.
$\Rightarrow T(0)=\frac{470}{70}+\frac{250}{65}$.
$\Rightarrow T(0)=\frac{47}{7}+\frac{50}{13}$.
$\Rightarrow T(0)=10.5604395604$.
Round to the nearest hour.
$\Rightarrow T(0)=11$.
The total driving time is about $11$ hours.
The point on the graph is $(0,11)$.