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When Two Cars of Different Speeds Race When Two Cars of Different Speeds Race

• How much is each line worth on the vertical axis? • 1 • How much is each line worth on the vertical axis? • 1 minute

• 2. How long does it take the P line to reach 3, • 2. How long does it take the P line to reach 3, 000/4, 000 km? • 5: 40/7: 02

• 3. How long does it take the S line to reach 3, • 3. How long does it take the S line to reach 3, 000/4, 000 km? • 10: 10/12: 40

• 4. How far does the P line get in 9/10 minutes? • • 4. How far does the P line get in 9/10 minutes? • 5, 600/6, 600 km How?

• 5. How far does the S line get in 9/10 minutes? • • 5. How far does the S line get in 9/10 minutes? • 2, 600/2, 900 km How?

• 6. Which line represents a faster speed? • P • 6. Which line represents a faster speed? • P

• 7. If the Porsche and Saturn both traveled 4, 000/5, 000 km, • 7. If the Porsche and Saturn both traveled 4, 000/5, 000 km, how much longer will it take the Saturn to reach the 4, 000/5, 000 km mark? • 5: 40/6: 25 How?

• 8. If the Porsche and Saturn both traveled 7, 600 km, how • 8. If the Porsche and Saturn both traveled 7, 600 km, how much longer will it take the Saturn to reach the 7, 600 km mark? • 9: 00 How?

• 9. If the Saturn arrives at a location 0: 05: 40/0: 06: • 9. If the Saturn arrives at a location 0: 05: 40/0: 06: 35 after the Porsche gets there, how far did they travel (they both traveled the same distance)? • 4, 000/5, 000 km How?

• 10. If the Saturn arrives at a location 0: 07: 35 after • 10. If the Saturn arrives at a location 0: 07: 35 after the Porsche gets there, how far did they travel (they both traveled the same distance)? • 6, 000 km How?

11. If the Porsche travels 2, 600/3, 600 km and arrives at your door 11. If the Porsche travels 2, 600/3, 600 km and arrives at your door at exactly 1: 00 pm, what time did it start its journey to your house? • 5: 00/6: 30 travel time • 12: 55: 00/12: 53: 30 How?

• 12. If the Porsche travels 3, 800 km and arrives at your • 12. If the Porsche travels 3, 800 km and arrives at your door at exactly 3: 00/4: 00 pm, what time did it start its journey to your house? • 2: 53: 20/3: 53: 20 How?

• 13. If the Porsche travels 6, 500 km and arrives at your • 13. If the Porsche travels 6, 500 km and arrives at your door at exactly 7: 25: 05/8: 25: 05 am, what time did it start its journey to your house? • 7: 15: 05/8: 15: 05 How?

• 14 a. The Porsche and Saturn arrive separated by 6: 40 minutes. • 14 a. The Porsche and Saturn arrive separated by 6: 40 minutes. How far did they travel? • 4, 800 km How?

14 b. Same problem as 14 a: If the Porsche arrives at 2: 40: 14 b. Same problem as 14 a: If the Porsche arrives at 2: 40: 00 pm, what time did it start? • 2: 32: 40 How?

4 4

4 4

5 5

5 5

7 7

8 8

9 9

9 9

10 10

11 11

11 11

1: 00 -5: 00 12: 55: 00 1: 00 -5: 00 12: 55: 00

1: 00 -6: 30 12: 53: 30 1: 00 -6: 30 12: 53: 30

12 4: 00 -6: 40 3: 53: 20 12 4: 00 -6: 40 3: 53: 20

12 3: 00 -6: 40 2: 53: 20 12 3: 00 -6: 40 2: 53: 20

13 7: 25: 05 -10: 00 7: 15: 05 8: 25: 05 -10: 00 13 7: 25: 05 -10: 00 7: 15: 05 8: 25: 05 -10: 00 8: 15: 05

14 a 14 a

14 b 2: 40: 00 -8: 00 2: 32: 00 14 b 2: 40: 00 -8: 00 2: 32: 00