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I think it is reasonable to assume that the train leaves on a whole number of minutes.
How many degrees do the hour and minute hands travel in a minute?
Can you form an equation that equates the angular distances travelled when the hour and minute hands coincide?
Imagine you are suspending a cube from one vertex and allowing it to hang freely. What shape does the surface of the water make around the cube?
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?