On Thursdays and Fridays, his shifts typically began in the afternoon. Only eight or nine hours separated the end of some shifts from the beginning of others. “So much for a two-day weekend,” he said this summer, on what was supposed to be a day off. He eventually went to a doctor, who diagnosed him with sleep apnea and told him to quit his job because the schedule was endangering his health. It was the overtime that made the job intolerable, even though the extra hours added 25 percent to his roughly $150,000 salary.

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