About three dozen flights were delayed or canceled at Logan International Airport on Friday morning as the government shutdown took its toll on Bostonians’ travel plans.

The impact appeared set to increase.

U.S. Transportation Secretary Sean Duffy said Wednesday that he was ordering a 10% reduction in flights at 40 major airports to account for an air traffic controller shortage caused by the 37-day ongoing shutdown. He said the cuts would start at 4% on Friday.

That was roughly in line with the rate of affected flights at Logan.

The airport saw 20 departing flights canceled, about 3% of its total volume, as of 9 a.m. Friday. Another 23 departures were delayed, according to data from FlightAware , a flight tracking website.

In addition, 18 flights scheduled to arrive at Logan on F

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