Right, what you need to do, is drive it again, until it cuts out then switch it off and leave it for more than 10 seconds, switch on, and listen for the pump priming.

The crank it over and listen for the pump running, i bet you find it will prime but wont pump when you crank

My guess is its the distributor sensor breaking down, if it does the fuel pump won't run, you could also whip off a plug lead and see if it sparks to earth....