Missouri lawmakers voted Tuesday to remove several thousand families from a welfare program by imposing shorter time limits for people to receive the benefits, overriding a veto by the Democratic governor. The Republican-led House voted 113 to 42 on Tuesday to override Gov. Jay Nixon’s veto, largely along party lines. The Senate voted 25 to 9 to override the veto on Monday. The new law will reduce Missouri’s lifetime limit for the Temporary Assistance for Needy Families cash assistance program from five years to three years and nine months, starting in January. The law also imposes stricter work requirements. About 3,000 families are projected to lose benefits, which are capped at $292 a month for a parent with two children. Governor Nixon said that translates to about 6,400 children. “The responsibility is not with the government,” said Senator David Sater, a Republican who sponsored the bill. “It’s with the families. It’s with the parents if they decide not to comply with the work activity requirement.”