The school is 18 3/4 miles south of Pittsburgh and the house is 44 1/4 miles south of Pittsburgh. You leave the school at 5:00 P.M., traveling south by bicycle at the average speed of 15 miles per hour. The father leaves Pittsburgh in the car at 5:45 P.M. He is driving south at the average speed of 55 miles per hour. Consider t represent time it takes your father to drive from Pittsburgh toward house.
1. Determine time it would take you to ride bicycle home.
2. Determine the time your father will arrive home.
3. Write the equation to find the distance d1, from Pittsburgh after t hours.
4. Write the equation to find the father's distance d2 from Pittsburgh after t hours.
5. Find the number of hours you rode your bicycle when your father passes you.
6.You wish to arrive home before your father. Suppose that all other information stays same. What time must you leave school?
7. At what time father passed you on the bicycle?
8. How many miles you rode the bicycle when father passed you?