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.

d. f

Explanation:

Based on the principle of operation of transformer, when a.c voltage is applied at the terminal of the primary coil (input coil), an alternating magnetic flux is produced in the iron core which links the secondary coil (output coil).

Also, an alternating e.m.f of the same frequency as that of primary coil (input coil) will be induced in the secondary coil (output coil) by mutual inductance.

Thus, If the input frequency is "f" then the output frequency will be "f" (since the frequency will be the same).

The correct option is "D"