I am not a scholar, but Islam places enough importance on your work, your studies.
If you're working, work diligently, and when you hear the call for prayer, pause the work, and go pray.
Sometimes your work may need sometime to be put in a state where it can be paused so that it can be resumed correctly. For that, many of the Salats have considerable amount of gap between the call and the salat. For the salats which don't have enough gap (e.g. Maghrib), you may preempt the halt and start preparing for it before the Call for prayer.
This is similar to what the above comment said.
Having a family and supporting it is one of the Sunnah (as far as I know).
I never came across something which supports complete abandonment of your family so that you can be involved in worship only.
You are required to worship in the same way as you're required to provide various levels of assistance to your family/parents/wife/kids.
I mean that's why there only 5 Salats in a day...
Being on the path of deen is also a kind of worship.
Being a good Muslim involves being a good human as well. Tender, Kind, Helpful, Just, And Truthful. Allah likes it, and when you do stuff to please Allah, in his name, it’s also a kind of worship.
Correct me if I am wrong.