The Lorentz transformation that describes the coordinate transformation between an unprimed coordinate system at rest and a primed coordinate system in the positive $x$ direction with speed $v$ is given by:

$\begin{align}x' &= \gamma \left(x - v t \right) \\y' &= y \\z' &= z \\t' &= \gamma \left(t - \frac{v x}{c^2} ...$
where
$\setcounter{equation}{4}\begin{align}\gamma = \frac{1}{\sqrt{1 - v^2/c^2}}\end{align}$

Solution to 1992 Problem 94