System S' has a velocity u = +0.45c relative to system S, as shown in the figure. The clocks of S and S' are synchronized at t = t' = 0 when the origins O and O' coincide. An event is observed in both systems. The event takes place at x = 600 m and at time t = 1.9 ps, as measured by an observer in S. What is the x'-coordinate of the event, measured by an observer in S'? somehow correct answer from answer key is x'=380m please show all work.
NOTE This is asking for the distance NOT the time.