Hey Dennis, regarding your comment about the Tacho, you should be right even if the tacho is stuffed. There's a loop of wire running through the back of the tacho that does indeed need to be connected for the ignition to work, but even if the tacho itself is buggered the loop should still be fine (it's literally just a few turns of wire). My only comment on ignition would be, make sure your plugs aren't too cold. I had issues with getting my 260 started at first, one of which was the plugs CONSTANTLY fouling from the slightly stuffed carbies. Hotter plugs solved this and gave me enough actual run-time to get the thing into some semblance of a tune.
If you're using round-tops (assume you are as it's a 240!) it's not very hard to remove the float chamber lids and have a look inside. What might also be useful is checking the float level. There are plenty of instructions floating around (http://www.zcarz.us/TechnicalInformationPageCarburation.htm for one) for doing it in various different ways, but basically you want to take off the top of the carby with the piston in it and have a look down the top to see where the fuel sits when you crank it. It shouldn't need to be perfect to get the car to start with if there's no fuel or fuel is pouring out into the carby body, then you might need to adjust the float level.
The carbies are quite simple, if you're careful to not lose anything you shouldn't have any trouble disassembling them to clean and inspect.