This is a hybrid problem form dynamics class that I am strug

This is a hybrid problem form dynamics class that I am struggling with from chapters work energy impulse momentum impact and more just dont know how to do this practice problem

Solution

a)

Total weight = 900*160 = 144000 lb

Work done = Energy stored = mgh = 144000*1000 ft-lb

Distance traveled = sqrt(2500^2 + 1000^2) = 2692.58 ft

Time taken = s/v = 2692.58 / 250 = 10.77 min

Power = Work done / time taken = 144000*1000 / 10.77 = 13.37*10^6 ft-lb/min = 405.15 hp

b)

Motor capacity = 405.15 / 0.85 = 476.64 hp