Question

I was watching manswers last night and they were talking about how the bomb squad dis-arms bombs.
It got me thinking about Einstein idea of how when you're traveling on a beam of light holding a clock in front of you the clock would be still because time doesn't exsist relative to the speed that light travels I at(I think).
So what would happen if you were holding a ticking time bomb while traveling in a straight line on a beam of light? In theory of course
my teacher is giving me extra credit if I can get at answer for this


Would it ever explode sense the detonation of the bomb is purely dependent on time?