Let w be the time Ingrid took to wash her car.
We know that she spent half that time walking her dog, this means that:
[tex]\frac{1}{2}w[/tex]is the time she spent walking her dog. We also know that she spent 23 minutes doing that, then we have the equation:
[tex]\frac{1}{2}w=23[/tex]Solving for w we have:
[tex]\begin{gathered} \frac{1}{2}w=23 \\ w=2\cdot23 \\ w=46 \end{gathered}[/tex]Therefore she spent 46 minutes whashing the car.