I think this has already been hinted at, but just to be clear: I'd apply a Your Money or Your Life kind of analysis to the situation. The pay difference is $25k between each job, but that's just the "advertised" difference. You have to look at the whole "cost" of either job. The appears-to-be-higher-pay job requires you to buy a car, which implies you'll have commuting expenses as well. Plus you'll have more time invested, with commuting and being salaried (which you said means more than 40 hours/week). Are there other expenses associated with either job? Equipment you have to buy? Uniforms? And what about tax implications?
You need to figure out what your actual take-home pay will be from each job. Subtract taxes, equipment (including car, gas, car insurance, car license registration, uniforms, meals, etc). And I'd be surprised if the difference between the two jobs was still $25k.
Finally, divide that actual take-home pay number by the number of hours you spend "involved" with work. I.e., not just time at the office or doing stuff, but commuting and whatnot. You may be surprised to find that the seemingly lower-paying job actually has a better "hourly rate" than the other. Maybe.
$25k seems like a lot of money, but that could easily be eaten up in associated costs and your time.
Of course, the YMYL kind of ignores intangibles, like job satisfaction, how much you learn, future opportunities, job security (if that's important to you), etc.
IMHO, being on call 24/7 sounds scary to me. Do you personally know people who work at this company? Some companies will really abuse you if you agree to be on call 24/7. Even if they don't abuse you, there's still the idea constantly hanging over your head that you're only a phone call away from work. And it's almost certain there will be at least one time when you are in the middle of living your life, and you get a work call. Maybe your daughter is doing something new, maybe you're putting a ring on your girlfriend's finger, maybe you are with a close friend/relative on their death bed... I'm quite cynical, but I'm certain that there will come a time when you get a work call at the least appropriate moment.