on the Y-axis and 165 mi. on the X-axis. Use the same scale which is used in figure 6. 2. What does P show? State your answer in terms of time and distance. 3. What do points A and A' show? Points B and B'? 4. Where is the fast train at 12 noon? Where is the slow train at this time? 5. At what time does the fast train pass the 70th mile? Prove your answer by division. If your graph is accurately drawn, the graph answer and the division answer agree. 6. From your graph locate the slow train when the fast train has reached Columbus. 7. If in the original problem the fast train had left Cleveland at 10 A.M. instead of at 9 A.M., where must there be a siding to allow it to pass the slow train? 8. Burlington Train No. 3 leaves Chicago daily at 11 P.M. for Denver and other western points. For the first 200 miles the schedule for this train is 32 mi. per hour. How far out of Chicago and at what time will No. 3 overtake a freight train which left Chicago at 8 P.M. and which averages 16 mi. per hour? A train, 9. Louisville is 110 mi. from Indianapolis. running at an average rate of 40 mi. per hour, leaves Louisville for Indianapolis at 7:30 A.M. The 8 A.M. train out of Indianapolis over the same road has an average speed of 35 mi. per hour. When and how far from Indianapolis do these trains pass each other? HINT.-Solve with function graphs by making the unit intervals on the X-axis 5 mi. and unit intervals on the Y-axis 15 min. Prove your answer with an equation solution. 10. If in problem 9 the slow train should leave Louisville at 7:30 A.M. and the fast train should leave Indianapolis at 8:00 A.M., when and how far from Louisville would the trains pass each other? CHAPTER II SHORT TESTS IN THE FUNDAMENTALS FOR Before completing this year's work you should be able to do the number right indicated in each exercise in the time allotted if you are a standard pupil in that particular exercise. If you finish an exercise in less than the given time, you should spend the remainder in checking your work. It is more important to be accurate than to attempt more than the standard. *NOTE.-In most cases the answers can be written on a slip of paper laid below the examples. Where examples need to be transferred, additional time should be allowed. |