Chevy 1970 C20 - Hose Behind Carburetor

[ggalv]

One of the hose in the area behind the carburetor was ripped. I cut the hose, but did not know the end opening was larger than the remaining hose, so right now I don't have the hose connected (red marking). Where the hose connects too (red marking), near the master cylinder I noticed there is another hose that is cut and not attached to anything.

What is the purpose of this hose?

When the hose was ripped at the connection or as it is currently now (not attached), does it affect how the truck runs? I am assuming I need buy a new hose and replace it?

Appreciate your help