Different times Reference Frame Question

[bethany555]

Homework Statement

In a given reference frame, event 1 occurs at t1 = 0 s and position x1 = 0 m while event 2 occurs at t2 = 3.6 × 10^−4 s and x2 = 0.60 × 10^5m. Is there a second reference frame in which these events could be at the same place but different times? If so, specify its motion with respect to the first frame. If not, what is the frame in which the two events have the least possible distance.

Homework Equations

The Attempt at a Solution

I wasn't sure if this is how you do it, but since .60^5/3.6^-4 = 1.66 x 10^8 m/s, which is lower than the speed of light, I said a reference frame moving at that speed relative to the first one would satisfy that requirement. However, can someone confirm / refute that and give me some advice. Thank you!

Homework Statement

 

[Nugatory]

I haven't actually checked your arithmetic, but you're thinking about the problem in the right way, so if you did the arithmetic right you'll have the right answer.