How do I do these VOR time and distance calculations? I'm trying to figure out the calculation to these questions:


  A pilot tracking a VOR turns 90 degrees from current heading. The
  pilot notes that it takes 3.0 minutes for the plane to intercept the
  radial 5 degrees from where it previously was. What is the time to
  VOR?


And:


  Using the previous question, what is the aircraft speed if the
  distance to travel is 100 miles?


I used the formulas my professor gave me and the numbers are coming out unrealistic to me. Could someone walk me through how to get the correct answer?
Here is the formula you are looking for:
(You can use this formula to answer your first question. I'm not entirely clear on what the second question means.)


Here is a nice discussion of the time/distance check from the Flight Learnings website: time/distance to station