Suppose two cars are travelling north along a road. car 1 travels at a constant speed of 50 mph for two hours, then speeds up and drives at a constant speed of 100 mph for the next hour. the car breaks down and the driver has to stop and work on it for two hours. when he gets it running again, he continues driving recklessly at a constant speed of 100 mph. car 2 starts at the same time that car 1 starts, but car 2 starts 100 mi. farther north than car 1 and travels at a constant speed of 25 mph throughout the trip.

a. sketch the distance-versus-time graphs for car 1 and car 2 on a coordinate plane. start with time 0 and measure time in hours.
b. approximately when do the cars pass each other?
c. create linear equations representing each car’s distance in terms of time (in hours). note that you will need four equations for car 1 and only one for car 2. use these equations to find the exact coordinates of when the cars meet.