Breal20199,
All of the above is good solid advice!
However from an OTR Trucker who has trucked in mountians all over the country and seen a bunches of RV issues in them not just limited to travel trailers but large motorhomes. Going down is harder than going up.
When going down hill chose a target speed you are comfortable with for your rig. Then DO NOT excced this speed. Use the gearing, not the brakes, in your vehicle to control your downhill speed. If you gearing alone is not controling your speed by itself, 5-10 MPH before your get to your target speed get on your brakes firmly. Not hard enough to go into a skid but firmly enough to slow your rig down quickly to about 25-30 MPH below your target speed. Don't try to slow down by just dragging the brakes. That just builds up heat in the brake systems in both the tow vehicle and RV. I don't care what brake system you have- drum, disc, elec/hyd, or air brakes etc they don't like heat. TOO MUCH HEAT = BRAKE FAILURE.
The 3 million mile man I learned from taught me- Get on the brakes firmly- get slowed down as quick as possible- get off the brakes!! Once off the brakes they start to cool down minimizing the heat build up. This takes some practice but after a few downhills you'll become comfortable doing it.
Additionally if your going to go on a trip to include not just mountians but hilly country you need to study your route. Know before you leave what hills/mountians you will/may encounter on your trip. Learn what a 6% grade is vs a 3% grade (a 6% grade falls 6 ft in every 100 ft of horizontal distance A 3% grade falls 3 ft every 100 ft etc.) So if there is a 12% grade it is very steep. Steep short is better than steep long!! Also figure in curves/switchbacks. (Go look at the map of US 550 in Colorado between Silverton and Quray- long grades & sharp 180 deg curves big time!!) There are maps on the internet that detail the grades on the highways.
http://maps.srfox.net is just one. There are others too.
When you come upon a 45 ft 1.9+ million dollar motorhome and it's toad halfway up a run away vehicle ramp due to burned out brakes it has a tendency to make one ponder!
I'm not trying to intimidate or discourage hilly/mountian RVing. Some of the most beautiful scenery the Good Lord every made have I seen the mountains. Just trying to keep you, your family, and your rig safe!!
Happy RVing!!