Question for those with Sound Engineer ability (is it possible to TOTALLY eliminate background noise on a wave file?)

I had a conversation with someone that took place outdoors. We recorded a 30 minute conversation on an Olympus digital recorder. The Olympus digital recorder did an outstanding job of recording the entire conversation except for one important part of the conversation that amounts to about 10 seconds of totally unlistenable data. Those important 10 seconds of the conversation are not the least bit audible due to major background noise. The background noise is mechanical. The background noise was made by a garbage truck making its rounds, it was in the process of lifting a dumpster up from the ground, up into the air and then crashing it back down to the ground again. Is it possible to TOTALLY eliminate the noise of the garbage truck in the background thereby making those 10 seconds of unlistenable data 100% audible to the listener? On a scale of 1 to 10 with 10 being 'super easy' or a slam dunk in being 100% successful in accomplishing this; and 1 representing almost zero chance of accomplishing this, what would you rate our chance of restoring those 10 seconds of lost conversation, a one, a ten or something inbetween????

What you wanted is a bit difficult for any software since a crucial part of your important sound may be lost if you try to edit the conversation. Do you really want to do that? If yes then you can look for many such software available online. You can search those by typing the search term as "Audio Synthesizers" or "Audio Editors" on any search engine.