Question

A man drives from Detroit to Chicago, say 300 mi., at an average speed of 60 mi. per hr., stops

1 hr. in Chicago, and returns at a speed of 50 mi. per hour. Neglecting variations of speed en-route:

Write formulas expressing x (distance from Detroit) as a function of t.

Answer 1

1. If 0 < t <= 5: x(t) = 60*t
2. If 5 < t < 6: x(t) = 300
3. If 6 < t < 12: x(t) = 600 - 50*t