A people mover, such as a travelator, moving ramp or escalator, comprises a conveyor. The conveyor comprises a frame having a first frame part secured to a fixed structure, and a second frame part mounted to be movable in relation to the first frame part in the longitudinal direction. The first and second frame parts are arranged one after the other. Transport platforms are secured to a first drive element and a second drive element. The drive elements are endless elements. A first tensioning device tensions the first drive element and a second tensioning device tensions the second drive element. Each tensioning device acts between the first frame part and the second frame part. The conveyor additionally comprises mechanical transmission elements between the first and second tensioning devices for keeping the stroke lengths of the first and the second tensioning movements equal.