Halliday, Resnick & Walker — Relativity: Problem 22

22 Observer S reports that an event occurred on the x axis of his reference frame at $x = 3.00 \times 10^8 \text{ m}$ at time $t = 1.50 \text{ s}$. Observer S' and her frame are moving in the positive direction of the x axis at a speed of $0.400c$. Further, $x = x' = 0$ at $t = t' = 0$. What are the (a) spatial and (b) temporal coordinate of the event according to S'? If S' were, instead, moving in the negative direction of the x axis, what would be the (c) spatial and (d) temporal coordinate of the event according to S'?