General :: Extracting Absolute Directory From Type Command?

I need to extract the absolute directory from the type command when I pass it a program name. E.g.

Code:

>type cat
cat is hashed (/bin/cat)

There is one other case (I believe):

Code:

>type lpr
lpr is /usr/bin/lpr

I thought of using regex, but it returns the whole line, not just the match. In addition, there is no option cited in the man page for type that returns just the command directory.

Note: this is part of my solution to a programming assignment in bash shell scripting.