# Relativity Question

## Homework Statement

In reference frame S two events occur at the same point; event A occurs 1.90 seconds before
event B. In another frame, S′, event A occurs 2.45 seconds before event B. How far apart
are events A and B in frame S′?

## Homework Equations

x'=gamma (x-vt)
t' = [t - vx/c^2] gamma

## The Attempt at a Solution

I used the aforementioned mentioned Lorentz transformations. I know both T and t'. I'm trying to find x'. So I solved for x in both equations and tried to calculate x' but could not do so. Am I approaching the question correctly?

CompuChip
$$\Delta s^2 = - c^2 \Delta t^2 + d^2$$
where $d^2 = \Delta x^2 + \Delta y^2 + \Delta z^2$ is the "ordinary" spatial distance given by Pythagoras' law, is a constant. So you could, for example, calculate $\Delta s^2$ in S first and then find $\Delta x$ in S' from that.