1994 Chrysler LHS

Engine Mechanical problem
1994 Chrysler LHS 6 cyl Front Wheel Drive Automatic 200000 miles

my car drives well for about 45 mintues to a hour. Then it dies out, but it will restart. As long I keep my foot on the brake and the gas at the same time.I had this car in the shop for 3 months and no one can diagnose the problem they checked the computer, all the sensors. The check engine light has never came on. The shop checked all the major things and still no answer, Their answer it to tell me it something minor but they dont know what, Please Help any suggestion would be greatly appreciated.
September 6, 2010.

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