A new kind of analog clock

This clock is a graph with plots of an hour function and a minute function. Drag the BLACK dot to set the time. Explain how to read this clock? Can you tell time with just the blue function? just the red function? How can you use this tool to tell you the angle either the minute hand or the hour hand turns through in going from one point in time to another? Write expressions for the RED and BLUE functions. Do you need both the RED and BLUE dots to read the clock? Why or why not? Write an expression for the ‘distance’ between two times.