One problem related to brakes failed has been reported for the 1997 Dodge RAM. The most recently reported issues are listed below.
While driving about 65 mph and barely touching the brakes to slow down, all four wheels locked up. Truck was towed to the dealership. Brake failure had occurred once before, and resulted in an accident. Dealer could not duplicate the problem, but they replaced the power brake booster. Brake failure has not occurred since.