The school is 18 3/4miles south of Pittsburgh and the house is 44 1/4 miles south of Pittsburgh. You leave the school at 5:00pm, traveling south by bicycle at the average speed of 15 miles per hour. The father leaves Pittsburgh in the car at 5:45pm. He is driving south at average speed of 55 miles per hour. Consider t represent time it takes the father to drive from Pittsburgh toward the house.
i) Compute time it would take you to ride the bicycle home.
ii) Determine time your father will arrive home.
iii) Write the equation to find distance d1 from Pittsburgh after t hours.