I have a mountain bike and just replaced the tires and inner tube. The tires recommend up to 65 psi. When we hit about 55... the tube popped. Is the issue likely the tube... or could the tire have an issue that caused the tube to pop on inflation?
This has happened to me on occasion (especially if I bought a cheaper tire). Mark the tire and rim before dis-assembling the wheel. Any temporary marking will do. When re-assembling the tire line up the tire/rim marks. If the tube pops in the same, or near, place - then it is (most likely) the tire.
I assume that when you say popped you mean it flatted etc. But unless the tire came off the rim, it is unlikely to be the tire. But check the inside of the tire for anything that could puncture the tube.
What I do is to mount the tire with the label/logo at the valve. That way when I remove the tire and find the puncture I know where to look on the tire for a nail or whatever.
The way I mount a new tire is to stuff the tube in the tire. Inflate it just enough so it has form with no folds. I get one side over the rim all the way around. This is usually quite easy. I then make sure the tire is in the rim. Finally, I start at the valve and work the other bead in to the rim. I do this all by hand although I understand some tires are tight enough to make this pretty hard. You might want to get a tire jack if that is the case instead of trying to use tire irons.
While in this barely inflated state, I work around the entire wheel sort of pinching / flexing the bead to make sure it is seated. Then I pump up to about 1/2 pressure and bounce the wheel at various points.
Lastly, I deflate the tire to relax the tube and let it do any final shifting it wants to do and then inflate to the desired pressure.
Sounds like a lot of work but it really is but a minute or two.
BTW most tires show a max pressure but that isn't necessarily the pressure you want. Like an auto, you'll want the best contact patch which varies from tire to tire and with the total weight.