The Department for Transport is responsible for maintaining high standards of safety and security in transport.
The Department for Education is responsible for home to school travel. The Department requires Local Authorities to arrange free home to school travel for eligible pupils of compulsory school age. They decide what travel arrangements to make, provided they are suitable. They might provide a pass for free travel on public transport.
Local Authorities are also required to publish an annual transport policy statement specifying the arrangements they consider necessary to facilitate attendance at education or training by young people of sixth form age. The Department expects them to take account of local transport infrastructure in doing so.
The Department also publishes statutory guidance which highlights that everyone who works with children has a responsibility for keeping them safe and sets out what professionals and organisations need to do to safeguard and promote the welfare of children and young people. A link to the statutory guidance can be found here: https://www.gov.uk/government/publications/working-together-to-safeguard-children--2.