Since the car with the new battery can travel 50 mm in 2 seconds, we can divide the distance by the time to find the new speed:
[tex]\frac{50}{2}=25[/tex]So the new speed is 25 mm per second.
Since the old speed is 23 mm per second and it was added to x, we have the equation:
[tex]\begin{gathered} 23+x=25 \\ x=25-23 \\ x=2 \end{gathered}[/tex]So the value of x is 2.
The equation 23 + x = 25 can be rewritten as:
[tex]\begin{gathered} 23+x=\frac{50}{2} \\ 2(23+x)=50 \end{gathered}[/tex]So the correct option is A.