help with 91 integra ls

While driving the other day my wife's 91 integra ls just died while running about 60 mph the alternator is new the battery is fine and there was 1/2 a tank of gas. After she got the car to the shoulder it cranked fine but would not start.. After unhooking the battery it cranked an ran fine.. Any suggestions as what to check or replace?? she was lucky this was not a heavy travled road at that time of day.. so I need to get this fixed.. please!! any suggestions would be appreciated!!

battery cables

maybe the coil? hows the distributor look?

Umm, maybe you should try cleaning the battery terminals. My dad had that problem with his Transport and found out that it was the terminals. Hope that helps ya...

Hmm... he said it cranks though.
if it was the terminals wouldn't it not crank though??

check distributor, spark plug cables.

oh yeah...
this may be different with honda but i once had a neon that would randomly die on me, but would crank fine, sometimes it would start sometimes it would just crank and crank and never start, and sometimes i would be driving and it would just die.
well it drove me friggin crazy. turns out that there was a plug in the wire going to the fuel pump, and due to vibrations or something it came loose and didn't have a good connection, so sometimes it would make contact and start, and sometimes it wouldn't, and sometimes it would lose its connection while driving therfore shutting off my fuel supply.

Once i found it and plugged it back in nice and tight the car was fine.

keep in mind that unhooking the battery terminal makes the car start again... so I don't think it would be the plugs or distributor would it? Nor a wire leading to the fuel pump.. Those would not be correct by unhooking the battery would they??

the same symptoms happened to my bro's 89 crx a while ago, we thought it was the battery, then the alternator and ended up replacing both before discovering that the rotor in the distributor had come loose, with that particular design the shaft that the rotor is on does not have a keyway, just a set screw so if the screw comes loose it spins free, if that is the same design on your integra it could very well be the same problem, if that is the case put some prematex on the screw so it wont happen again, because with my bro it did about a week later