A user of this forum named Dr.Sid made a little program to visualize soundrefractions:
http://www.subsim.com/radioroom/show...ighlight=sopro
The download is small, but awesomely slow.
Sorry, time of arrival difference of the sounds at each sub doesn't play into this. Well, not unless you consider wave interference patterns of several rays of the same sound mixing together. It's not about who heard the other first. Remember, your engines and screw and whatever emit continuously. So that is in no way an advantage over the other guy.
It's only if you send .... one ping only! (simultaneously)