Consider two linear transformations y = t(x) and z = l(y), where t goes from r^m to r^p and l goes from r^p to r^n. is the transformationz = l(t(x)) linear as well ? [the transformation z = l(t(x)) is called the composite of t and l.]

Solve the problem by making up an equation. a man could arrive on time for an appointment if he drove the car at 40 mph; however, since he left the house 15 minutes late, he drove the car at 50 mph and arrive 3 minutes early for the appointment. how far from his house was his appointment?