A container tarping assembly comprises a frame structure. A left spreader assembly and a right spreader assembly adapted to carry a tarp are also provided. The left spreader assembly includes first and second left travelers. The right spreader assembly includes first and second right travelers. The travelers are each movable in reciprocating fashion along a predetermined path between a first limit and a second limit. A plurality of drive mechanisms are respectively associated with the travelers to move the traveler in the reciprocating fashion, each of the drive mechanisms having a bidirectional motor.