Healey Nut
Luke Skywalker

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If the starter is turning the engine at a fast enough speed but it just wont fire I would suspect a vapour lock issue . The heat build up once the engine is off boils the fuel in the line and the pump doesnt have the balls to overcome the vapour pressure with the ignition on . Next time it happens jump out pop the hood and pull the fuel line of the carbs . Direct it away from anything hot(preferably direct it into an old soft drink can, water bottle etc etc ) and have someone turn the ignition on for a couple of seconds, if all you get its spits and farts of bubbles and not a steady stream of fuel then you have your answer . If it spits and farts let it become a steady fuel stream turn of the ignition, reconnect the fuel line and see if it starts .
Had the same problem with my 67 , got the rad recored with an extra pass for more cooling , problem solved .
Had the same problem with my 67 , got the rad recored with an extra pass for more cooling , problem solved .