WASHINGTON (MarketWatch) — The number of job openings in the United States rose in April to a record high, but the pace of hiring slipped to a one-year low in another sign the economy is running out of people with enough skills to fill empty positions.

Job openings climbed to 6.04 million in April from 5.79 million, the Labor Department said Tuesday.

More than half the new openings were in the hotel and restaurant businesses. Openings for better paying manufacturing jobs fell by 30,000, however.

The number of people hired, meanwhile, dropped by 253,000 to 5.05 million in April. Firms looking to fill positions for social workers and health care assistants cut back sharply as did real estate companies.

The pace of hiring was the lowest since April 2016, reflecting the tightest labor market in 16 years.

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Last week the government said the unemployment rate fell to 4.3% in May to mark the lowest level since 2001.

The U.S. economy added 138,000 jobs in May, well below the Wall Street forecast and more evidence that labor shortages are making it harder for companies to hire.

Even with a tight labor market, though, Americans aren’t quick to quit their jobs in favor of a new one that might pay better. So-called quits also fell in April to 3 million.

The quits rate edged down to 2.1% from 2.2%. The record is 2.6%, set at the tail end of an internet boom that ended in 2001.