The mass of the (elevator + person) is (2,000 kg + 60 kg) = 2,060 kg .
The weight is (mass x gravity) = (2,060 x 10) = 20,600 newtons
Work = (force x distance) = (20,600 newtons x 24m) = 494,400 joules
The speed, acceleration, and how much time it takes don't make any
difference, unless you want the average power during the lift.
Power = (work)/(time) =
494,000 J / (24/4 m) =
494,000 J / 6 sec = 82,400 watts wow !