What are the x-coordinates of the bombs' explosions as measured by train B?

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SUMMARY

The discussion centers on a physics problem involving two trains moving in opposite directions and the x-coordinates of bomb explosions as perceived by observers on each train. The key facts established are that observer A measures bomb A's x-coordinate as twice that of bomb B, while observer B measures bomb B's x-coordinate as twice that of bomb A. Both observers agree on the time coordinates, with bomb A's time being twice that of bomb B's. The solution requires translating these observations into mathematical equations using the concept of relative motion.

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Homework Statement


I came across this problem in a worksheet and I am completely lost as to where to start; can someone help? The question is:

Two trains are heading at the same speed, relative to the Earth, in opposite directions. A bomb explodes on each train, but not at the same times. An observer on train A says that the x-coordinate of bomb A was twice that of bomb B. An observer on train B, using the same origin and orientation, says that the x-coordinate of bomb B was twice that of bomb A. However, they agree on the time coordinates: bomb A's time coordinate was twice that of bomb B's. What are the x-coordinates of the bombs' explosions as measured by train B?


Homework Equations


x=x'-vt?


The Attempt at a Solution


I have no clue where to start; this problem doesn't make sense to me and I need some help to actually start this problem.
 
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Obviously, the first step is to translate the given statements into mathematical statements. This involves choosing a notation.
 

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