SCOUT’S PACE CHALLENGE
A team of Boy Scouts challenged a team of Girl Scouts to see who could cover the greatest distance at Scouts’ pace in 1 hour. The boys decided to run at 3m/s for 90 seconds and to walk at 2m/s for 135 seconds. The girls decided to run at 3m/s for 50 seconds and to walk at 2m/s for 75 seconds. Draw their respective graphs of speed against time for the first 6 minutes of the race. Assuming that both teams managed to keep up these paces for the full hour, which team won and by how much?