WASHINGTON -- Amtrak will introduce a second and third high-speed Acela Express train in the Northeast Corridor March 5, with one making a nonstop trip between New York and Washington each weekday in two hours, 28 minutes, according to a wire service.

The second train entering service that day will make daily round trips, with stops, between Boston and New York.

Amtrak expects to have its full order of 20 high-speed trains operating in the Boston-New York-Washington corridor by the end of summer. The first train, introduced Nov. 16, leaves Washington each day at 5 a.m. for a round trip to Boston.

Amtrak says the one Acela Express train now in operation has been on time, defined as within 15 minutes of its posted schedule, 97 percent of the time since Jan. 8.

The nonstop Acela Express that begins March 5 will leave Washington's Union Station every weekday morning at 6:50 a.m. and arrive in New York's Penn Station at 9:18 a.m. The return trip will leave New York at 3:50 p.m. and arrive in Washington at 6:18 p.m.

The other new train will leave Boston South Station each morning at 6:12 a.m. and arrive in New York at 9:40 a.m. The return trip will leave New York at 6 p.m. and arrive in Boston at 9:28 p.m.

On each trip, the train will also stop at Back Bay and Route 128 in the Boston area, plus Providence, R.I., and New Haven, Conn.