Answer
They will meet after $2$ hours.
Work Step by Step
The given equation is
$\Rightarrow 50h=190-45h$
Add $45h$ to each side.
$\Rightarrow 50h+45h=190-45h+45h$
Simplify.
$\Rightarrow 95h=190$
Divide each side by $95$.
$\Rightarrow \frac{95h}{95}=\frac{190}{95}$
Simplify.
$\Rightarrow h=2$
Hence, they will meet after $2$ hours.