How fast you are traveling only makes sense if you specify how fast relative to what. Relative to the road, you'd be traveling at 77 mph. Relative to the bus, you'd be traveling at 12 mph. Not sure what your wife had in mind with 65 mph. (Relative to someone running alongside the bus at 12 mph, you'd be traveling at 65 mph.)

Neither, though you are much closer then she is. Your true speed is about 8.46 billionths of an inch less then 77 miles per hour, due to relativistic effects.