Then there are two key parameters here.
The first is the maximum torque, which in this case is (30 lbs)*(wheel radius). If you have a more advanced block and tackle pulley, you can divide by the mechanical advantage. For example, if no mechanical advantage and a 3" radius wheel, you need a motor rated for 8 ft-lbs. Not hard for a decent motor, but beyond a 'RC car' motor.
The second is a mechanism that can hold on to torque. Most motors either turn or burn. So you need a ratchet mechanism and controls to stop and start the motor when it can turn.
And it just occurs to me. We are trying to come up with a product that already exists: A winch
Depending on how much money you are willing to put into it, you could just get an electric hoist/cable wench with a remote control for under 100 bucks.
Something like this
those winches that mount on cars and accept 12V can pull some crazy weight, think cars.