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Truck and Car

Truck and Car. Given the rates of two vehicles approaching each other, the student will be able to find the time at which they meet by using the formula D=RT. California State Standard 15.0: Students apply algebraic techniques to solve rate problems. A. B. Truck and Car.

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Truck and Car

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  1. Truck and Car Given the rates of two vehicles approaching each other, the student will be able to find the time at which they meet by using the formula D=RT. California State Standard 15.0: Students apply algebraic techniques to solve rate problems.

  2. A B Truck and Car Towns A and B are 300 miles apart. At noon, a truck leaves town A toward town B, and the car leaves town B toward town A. The car drives at 70 mph and the truck drives at 80 mph. When and where do they meet? First, let’s try to solve the problem by drawing a picture.

  3. A B Vocabulary • Distance: how far away one thing is from another. • Rate: speed, or how fast something is going.

  4. Thinking About the Problem • How long do you think it would take the Truck to get from one town to the other? • How did you decide that? • How long would it take the car to get from one town to the next? • Do you think they will meet half way between? • Why or why not?

  5. A B Position of Each Vehicle After 1 Hour

  6. 80 miles 70 miles A B Position of Each Vehicle After 1 Hour

  7. A B Position of Each Vehicle After 1 Hour

  8. 160 miles 140 miles A B Position of Each Vehicle After 2 Hours

  9. Solving the Problem by Using a Table

  10. Solving the Problem by Using a Table

  11. Solving the Problem by Using a Table

  12. Solving the Problem by Using a Table

  13. Solving the Problem by Using a Table

  14. + = = + + = + = Rate (Time) + Rate (Time) = Total Distance

  15. What do you notice about the times? Rate (Time) + Rate (Time) = Total Distance Rate (Time) + Rate (Time) = Total Distance 80(T) + 70(T) = 300 miles

  16. Rate (Time) + Rate (Time) = Total Distance What do you notice about the times? Rate (Time) + Rate (Time) = Total Distance 80(T) + 70(T) = 300 miles 150(T) = 300 miles 2 Hours 150 150

  17. A cheetah and a jaguar are 600 meters apart. They begin to run toward a gazelle at the same time. The cheetah begins at the rock running 30 meters per second, and the jaguar begins at the tree running 20 meters per second. If they get to the gazelle at the same time, where is the gazelle located? How long did it take them to get there? 600 meters

  18. Fin

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