Cold starting problem on accord ????????????

My 85 accord (carb model) runs great but when the car has sat for a few hours or in the morning it starts then kills everytime after 5-7 of running, then i have to try it 3-4 time to get it to start again. I changed the plugs and they all looked nice and tan. Is this a choke problem, fuel pump or???
Help appreciated.

Sorry for the typo, thats 5-7 seconds then it kills, but if the car has been run recently then its fine.

It seems like the gas is running back out of the line anyone know how to check this??
Is it controlled by a fliter with a ball check in it??