First, to answer the original question, it's a simple turn-to-intercept problem. You cross the VOR, turn the shortest direction (in this case, right) to roll out on a heading to intercept the outbound (in this case, probably about 330), then intercept and track the 299 radial outbound. When you've flown out far enough to complete the reversal far enough to lose 1400 feet at a safe descent rate, but not so far that you'll exceed the 10nm limit, you reverse course and intercept the 299 inbound before leaving 3500 for 2100.
A classic HPILPT with a 1-minute inbound leg would not be a real good idea, since a 1-minute inbound leg would require an awfully steep descent rate to be down to 2100 before recrossing the VOR. However, since a racetrack pattern is, as the AIM says, perfectly acceptable, you could cross the VOR and then turn right to a heading of 299 (since the race track should be accomplished on the protected side of the radial). When you've flown out far enough to complete the reversal far enough to lose 1400 feet at a safe descent rate, but not so far that you'll exceed the 10nm limit, you turn right again to intercept the 299 inbound before leaving 3500 for 2100.
And there are probably several other ways to do this legally and safely, but personally, I like sticking with one system that works and doing it consistently, since research suggests we do best that which we do most often, and when we do something differently every time, we tend not to do it well. The classic 45-180 PT is my personal choice, because
- That's what I learned to do 40 years ago (law of primacy),
- That's what I've done most often over those 40 years (law of exercise), and
- The numbers for it are printed on the chart (law of simplicity, which though not found in the Aviation Instructor's Handbook, seems patently obvious to me).
BTW, I have no "canned" time to fly out on a PT. The time varies situationally based on altitude to lose outbound and/or inbound. On the
VOR 24 at KBDR, with zero altitude loss both outbound and inbound, if I hit the IAF at 1800, I might not go any farther than becoming established outbound before starting the reversal. On the chart above, I'd probably time the outbound to get a 3-minute inbound leg to lose that 1400 feet at a comfortable 500 ft/min.