Another horse to ride?

Okay, as many of you know I ride Little Mr. Sunny; he's adorable and I'm learning and having so much fun with him.
Anyway, his owner has another horse, Bullwinkle (let's call him Bull). Bull needs to be ridden, and get started again. He wasn't in the same situation like Sunny, that I know of (Sunny had not been touched in 3 months - he was/is a little buck-a-roo and kids were scared of him...luckily I'm small enough to ride him!). I've talked to the owner, who's very nice, and she told me he had experience in fox hunting, dressage, show jumping, and he loves trail.
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Bully's older, I believe 19 or 20 and he's an Appendix. I really feel bad for him because he sits in paddock with Sunny, eats and then that's pretty much his day. Lately I've been turning him out in the arena and letting him gallop around and have fun.
I've been seriously talking to my friend about riding him for his owner (she too wants someone to get him back in track). The ideal situation for Bully's owner is that if she gets Bull back on track, then she could give him away. My friend is taking this seriously, however she (like me!) has a very busy week.
Now my question for all of you is:
Should I ride/lunge him 1-2 a week, although I have two other horses to ride?
When I say two other horses, I have my mare that I usally get her lunged once a week (the weather is really hard to ride or lunge in, but I get out there on the weekends).
I think I could do this for a while, because I'm not (thank god!) in any honors classes, and my homework load isn't bad.
Opinions?

I think if you could fit it into your schedule somewhere, Bully would love the extra attention! Some attention/exercise is better than none at all... even if you can't lunge or ride him very often, I think it would be great to just give him what you can when you can :)

Thanks! That's what I'm thinking, too.
He's just so sweet after a while. He comes up to me after playing and just stands there, like he's asking "Where's my attention? Love?" He's cute. Then, of course "Little Mr. Sunshine" comes up - "NO! THIS IS MY PERSON. GET AWAY BULLY!" Ha, I love that pony...

Awe! Cute! I would defiinitely try and exercise him whenever it's possible in your schedule. Even taking him in and grooming him would be nice, I'm sure

Yeah, i think lunging him when you can would be great for him even if you can only lunge him for 15 minutes or so. It's better than nothing!

Thanks everyone, I really appreciate it.

It sounds like you have thought your plan. It sounds like its duable. Ultimatelly you are the only one who will be able to know if you can fit another horse into your schedule. I would certainly take the opportunity at hand if I were you, great way of gaining more riding experience.

Good luck!

I honestly think that if you have the time every once in a while to lunge him that it will be better than never getting him out (I think people above me have said the same thing..) Its your decision in the end but whenever you have free time, like waiting for someone to come pick you up just lunge him...Its going to be better than anything!!! At least you think everything through and you know that you aren't going to be able to do everything..Thats a smart move