I think this will do what you want.
There's a shareware/freeware set of nav programs called EZ-NAV93.EXE which contains a number of useful navigation programs, including one called INTERCPT.EXE which will solve the problem you posed.
You can find EZ-NAV93.EXE at: http://ftp.linux.org.uk/pub/Navigation/
Just download it, save it to your computer in its own folder, and run it. It will automatically generate the 12 nav programs in the same folder, together with documentation. Run the INTERCPT.EXE program, and away you go.
By the way, the answer to your problem seems to be:
28 hours to intercept on a course of 57.8T and a distance of 196 nm.
This assumes: (1) that the program is accurate; and (2) no effect of current or leeway.