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

2. Warm Up # 1 Multiply

3. Warm Up # 2 Add

4. Warm Up # 3 Solve

5. Warm Up # 4 Solve

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

7. Distance = rate x time Biker Walker 54 miles 18 miles x = speed of walker x + 8 = speed of cyclist 54 18 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

8. Rational Equations Time Walker Time Biker Distance = rate x timeBiker Walker x = speed of walker x + 8 = speed of cyclist 54 18 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

9. Rational Equations x = speed of walker x + 8 = speed of cyclist 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

10. 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. # 2 Distance = rate x time 240 x + 20 x 180 240 x = speed of red (slower) car 180 Slow car Fast car x + 20 = speed of green (faster) car Rational Equations

11. 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. # 2 x = speed of red (slower) car x + 20 = speed of green (faster) car Distance = rate x time x + 20 x 180 240 Slow car Fast car Time Slow Car Time Fast Car Rational Equations

12. 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. # 2 x = speed of red (slower) car x + 20 = speed of green (faster) car Rational Equations

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

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

15. 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. 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. #1#1 #2#2 #3#3 #4#4 HomeworkHomework 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.?