A recording medium transport device comprising: a transport path along which a recording medium is transported; two transport roller pairs (191, 192), that are located at different positions on the transport path in a transport direction of the recording medium, and transport the recording medium; two stepping motors (51, 52), that are provided for each one of the two transport roller pairs (191,192) respectively, and supply a rotational drive force to the relevant transport roller pairs (191, 192); a rotational speed detecting section (56, 57, 101) configured to detect a rotational speed of at least one of the two transport roller pairs (191, 192); a connecting member configured to connect the two transport roller pairs (191, 192); a drive switching section, that is provided to one of the two transport roller pairs (191, 192) and is configured to switch between a state in which the rotational drive force is transmitted between the two transport roller pairs (191,192) via the connecting member and a state in which the rotational drive force is not transmitted between the two transport roller pairs (191, 192); and a controller configured to cause the drive switching section to switch from the state in which the rotational drive force is not transmitted between the two transport roller pairs (191, 192) to the state in which the rotational drive force is transmitted between the two transport roller pairs (191,192) via the connecting member, when the rotational speed detected by the rotational speed detecting section (56, 57, 101) falls outside a predetermined speed range, characterized in that when causing the drive switching section to switch from the state in which the rotational drive force is not transmitted between the two transport roller pairs (191,192) to the state in which the rotational drive force is transmitted between the two transport roller pairs (191,192) via the connecting member, the controller increases a driving current by a predetermined value, the driving current being used to drive the stepping motor (51,52) provided to one of the two transport roller pairs (191,192) whose rotational speed detected by the rotational speed detecting section (56,57,101) does not fall outside the predetermined speed range, in order to assist another one of the two transport roller pairs (191,192) whose rotational speed detected by the rotational speed detecting section (56,57,101) falls outside the predetermined speed range, by receiving a supplementary rotational drive force from the one of the two transport roller pairs (191,192) whose rotational speed detected by the rotational speed detecting section (56,57,101) does not fall outside the predetermined speed range. a transport path along which a recording medium is transported; two transport roller pairs (191, 192), that are located at different positions on the transport path in a transport direction of the recording medium, and transport the recording medium; two stepping motors (51, 52), that are provided for each one of the two transport roller pairs (191,192) respectively, and supply a rotational drive force to the relevant transport roller pairs (191, 192); a rotational speed detecting section (56, 57, 101) configured to detect a rotational speed of at least one of the two transport roller pairs (191, 192); a connecting member configured to connect the two transport roller pairs (191, 192); a drive switching section, that is provided to one of the two transport roller pairs (191, 192) and is configured to switch between a state in which the rotational drive force is transmitted between the two transport roller pairs (191,192) via the connecting member and a state in which the rotational drive force is not transmitted between the two transport roller pairs (191, 192); and a controller configured to cause the drive switching section to switch from the state in which the rotational drive force is not transmitted between the two transport roller pairs (191, 192) to the state in which the rotational drive force is transmitted between the two transport roller pairs (191,192) via the connecting member, when the rotational speed detected by the rotational speed detecting section (56, 57, 101) falls outside a predetermined speed range, characterized in that when causing the drive switching section to switch from the state in which the rotational drive force is not transmitted between the two transport roller pairs (191,192) to the state in which the rotational drive force is transmitted between the two transport roller pairs (191,192) via the connecting member, the controller increases a driving current by a predetermined value, the driving current being used to drive the stepping motor (51,52) provided to one of the two transport roller pairs (191,192) whose rotational speed detected by the rotational speed detecting section (56,57,101) does not fall outside the predetermined speed range, in order to assist another one of the two transport roller pairs (191,192) whose rotational speed detected by the rotational speed detecting section (56,57,101) falls outside the predetermined speed range, by receiving a supplementary rotational drive force from the one of the two transport roller pairs (191,192) whose rotational speed detected by the rotational speed detecting section (56,57,101) does not fall outside the predetermined speed range.