Officials with the Tennessee Highway Patrol said a vehicle was stopped last week for speeding in a construction zone on Interstate 24 near mile marker 115.
27-year-old Mucker was driving the vehicle and according to reports was apparently behaving strangely and told a state trooper the men were traveling from Georgia back to Kentucky. He denied officials consent to search the vehicle.
The trooper found out that Tompkins, age 37, and 31-year-old Graham, who were in the car were both convicted felons.
A K-9 was called to the scene and discovered more than a half pound of crystal methamphetamine in two plastic bags inside the glove compartment.
Another bag of meth weighing 20 grams, two ounces of marijuana, five meth pipes and three marijuana pipes were also found, along with marijuana grinders, digital scales, several plastic bags used for resale, $1,093 in cash and a loaded 9 mm handgun.
Mucker is being held on a bond of $95,000. While Tompkins and Graham are being held under bonds of $120,000. All three are scheduled to appear in Coffee County General Sessions Court on March 24.