Needed: Gap-Removing Audio Editing Software

I have an audio recording that contains gaps.  There is speech, then a gap, then music, then a gap, then speech, etc. I would like to close up those gaps so that the recording is easier and more interesting to listen to.  Some of the gaps last for only a few seconds; others are quite long.  Manually removing them is time-consuming.  There needs to be software that is capable of recognizing the gaps — perhaps guided by an example that shows what level of noise constitutes a gap — and eliminates them, so that there is just speech, brief gap, music, brief gap, etc.