BLUE & RED started from the same point at the same time down the same path to school.[br][br]RED decided to walk at 'rabbit' speed the first half of the the distance and at 'turtle' speed the second half of the distance.[br][br]BLUE decided to walk at 'rabbit' speed half the time and at 'turtle' speed half the time.[br][br][You can use the RED dots to set 'rabbit' and 'turtle' speeds. You can use the BLUE dot to set the total time blue takes to get to school.][br][br][i][b]Under what circumstances does RED get to school first? [br][br][i][b]Under what circumstances does BLUE get to school first?[/b][/i][br][br]Who gets to the halfway distance first? [br][br]Who is further along at half shorter travel time?[br][br]Do they ever meet on the way to school?[/b][/i][br][br][b][size=85][br][see further thoughts below][/size][/b]

Discuss the relative merits of two different kinds of race - Runners race 100 meters and compare running times vs. Runners run 10 seconds and compare distances traversed.