@Daniel Chu how do you know your partner will take on more responsibility if you don’t even have the deal yet? Finding an agent to work with, touring homes, analyzing deals, finding lenders all takes time and is spent prior to closing. Who will take lead here?
Will your partner be meeting with contractors or will he be doing the entire rehab or will he be purchasing / delivering supplies? Are you looking for a small rehab or full gut?
Who will find tenants (you, your partner, real estate agent or property manager)?
Who will manage the property and collect rent?
I would go 50/50 on the first home going into closing with roles defined and then leave time re-evaluate the equity split after finding a tenant. You also need to define what your options are if one partner wants to sell off his share of the investment. Look to make the next deal more fair once you understand your roles in the partnership.
Communicate frequently throughout the development to find ways to help as an out of state investor even if it is just administrative effort.