I claim the ornamental design for a vehicle mounted carrying system, as shown and described.
FIG. 1 is a perspective view of the carrying system;
FIG. 2 is the top view of the carrying system of FIG. 1;
FIG. 3 is the bottom view of the carrying system of FIG. 1;
FIG. 4 is the front view of the carrying system of FIG. 1;
FIG. 5 is the back view of the carrying system of FIG. 1;
FIG. 6 is a side view of the carrying system of FIG. 1;
FIG. 7 is the opposite side view of the carrying system of FIG. 6; and,
FIG. 8 is a perspective view of the carrying system of FIG. 1 connected to an all-terrain vehicle.
The broken lines showing the all-terrain vehicle of FIG. 8 are included for purposes of illustrating the vehicle mounted carrying system in use, and form no part of the claimed invention.