The best thing to do,as said above,is to run new Cay5E or Cat 6, and not worry about it. The cable advised to use is Cat5e and this is because you are running voice over the internet (data) and it may require all four pairs for packet confirmation during use. (the mix of a broadband application (voice) and data)
You would be OK using the Type 1 if it was just for normal voice applications.
Type 1 is good up to 400 feet per cable run but was designed for the 10mps token ring applications and is no longer supported by IBM.
If you are intent upon using the Type 1,you can get adaptors that will allow you to plug in cat5 patch cords at the ends,one for the computer and the other for the switch/router but this would be purely a measure to go if the client insist upon using the existing cable with no warranty the VOIP would work. If you can still find these,the cost may be up to where converting the cabling cost more than new runs/panels/ect.
You would just have to 'try it' and see what happens.
Good Luck