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Warm Up

Warm Up. #3. #1. #2. Solve. Multiply. Add. #4. Warm Up. # 1. Multiply. Warm Up. # 2. Add. Warm Up. # 3. Solve. Warm Up. # 4. Solve. Rational Equations. Distance – Rate - Time Problems. Distance Formula. Rational Equations.

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Warm Up

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  1. Warm Up #3 #1 #2 Solve Multiply Add #4

  2. Warm Up # 1 Multiply

  3. Warm Up # 2 Add

  4. Warm Up # 3 Solve

  5. Warm Up # 4 Solve

  6. Rational Equations Distance – Rate - Time Problems Distance Formula

  7. Rational Equations A bicyclist travels 8 miles per hour faster than a walker. The cyclist travels 54 miles in the same time it takes the walker to walk 18 miles. Find their speeds. # 1 54 miles x = speed of walker x + 8 = speed of cyclist 18 miles Walker 18 Biker 54

  8. Rational Equations A bicyclist travels 8 miles per hour faster than a walker. The cyclist travels 54 miles in the same time it takes the walker to walk 18 miles. Find their speeds. # 1 Time Walker Time Biker x = speed of walker x + 8 = speed of cyclist Walker 18 Biker 54

  9. Rational Equations A bicyclist travels 8 miles per hour faster than a walker. The cyclist travels 54 miles in the same time it takes the walker to walk 18 miles. Find their speeds. # 1 x = speed of walker x + 8 = speed of cyclist

  10. Rational Equations # 2 One car travels 20 mph faster than the other car. While the faster car goes 240 miles the other car travels 180 miles. Find their speeds. 240 180 x = speed of red (slower) car x + 20 = speed of green (faster) car Slow car x 180 Fast car 240 x + 20

  11. Rational Equations # 2 One car travels 20 mph faster than the other car. While the faster car goes 240 miles the other car travels 180 miles. Find their speeds. Time Slow Car Time Fast Car x = speed of red (slower) car x + 20 = speed of green (faster) car Slow car x 180 Fast car 240 x + 20

  12. Rational Equations # 2 One car travels 20 mph faster than the other car. While the faster car goes 240 miles the other car travels 180 miles. Find their speeds. x = speed of red (slower) car x + 20 = speed of green (faster) car

  13. Rational Equations Jerry rode his Vespa 120 miles to Lakeville to visit his cousin. Jerry borrowed his cousin’s car and his return trip was accomplished at twice the speed and took 3 hours less time. Find the average speed of Jerry’s Vespa going to his cousin’s house. # 3 x = speed of the Vespa 2x = speed of the car x 120 Vespa 120 2x Car

  14. Rational Equations Jerry rode his Vespa 120 miles to Lakeville to visit his cousin. Jerry borrowed his cousin’s car and his return trip was accomplished at twice the speed and took 3 hours less time. Find the average speed of Jerry’s Vespa going to his cousin’s house. # 3 x = speed of the Vespa 2x = speed of the car

  15. Homework #1 The speed of a freight train is 14 km/h slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 400 km. Find the speed of each train. #2 One car travels 40 km/h faster than another. While one travels 150 km, the other goes 350 km. Find their speeds. A lab tested two high-speed trains. One travels 40 km/h faster than the other train. While one train travels 70 km, the other travels 60 km. Find their speeds. #3 #4 A freight train leaves Pleasanton at 6:00 a.m. and travels 180 miles to San Luis Obispo. A car leaves Pleasanton at 10:30 a.m. traveling 36 m.p.h. faster than the train and pulls into S.L.O. at the exact same time as the train arrives. Assuming that the distance the car traveled was the same as the train, what was the average speed of the car? What time did both the car and the train arrive in S.L.O.?

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