Given what we know, we can confirm that the explanation for the situation described is that the blue star must be moving toward Earth and the red star away from Earth.
This has to do with a phenomenon known as the doppler effect. This effect explains how we can perceive a star as red or blue depending on its distance and on whether or not it's moving towards or away from us. When an object moves away from us, the wavelengths of the light it emits are stretched, making the object appear red. However, when it moves towards us, this increases the wave frequency that reaches us and we observe it as blue.
Therefore, we can confirm that the explanation for the situation described is that the blue star must be moving toward Earth and the red star away from Earth.
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