Honda, in 1987, produced some cars with fuel injection and some with carburetors. If your car has a carburetor, have it overhauled. If your car is fuel injeted clean the fuel injection system including throttle bore, idle bore and idle speed control motor passages. Your car may be ready for a major tune-up including spark plugs, plug wires, distributor cap, rotor, fuel filter and air filter. Also, perform a fuel pump pressure test. If the problem still exists, scan computer for trouble codes.