Raj gets 1.5 mile head start and runs at a rate of 4.5 miles per hour.Jacinda's progress is represented by a graph that goes through the points (1,10), (2,20), (3,30). How long will Jacinda need to run to catch up with Raj?
Jacinda: d = 10 * t ( a rate: 10 miles per hour ) Raj : d = 1.5 + 4.5 * t Jacinda will catch up with Raj when: 10 t = 1.5 + 4.5 t 10 t - 4.5 t = 1.5 5.5 t = 1.5 t = 1.5 : 5.5 = 0.27 hours = 16.2 min = 16 min 12 seconds
