On a Benz, I would say the fuel pump relay is going bad, so check that. If it's hot while running, replace it.

I'm not familar enough with Japanese cars to say if this is typical or not, but it sure sounds like a bad fuel pump or relay.

Peter

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1972 220D ?? miles
1988 300E 200,012
1987 300D Turbo killed 9/25/07, 275,000 miles
1985 Volvo 740 GLE Turobodiesel 218,000
1972 280 SE 4.5 165, 000 - It runs!