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4.8 Rate Time Distance Problems

4.8 Rate Time Distance Problems. Objective: To solve word problems with uniform motion. Formula to Know!. Distance = Rate * Time. Rate = Time =. Strategies :  Determine Given and Goal  Draw a picture  Set up a chart. How to set up Charts. How to set up Charts.

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4.8 Rate Time Distance Problems

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  1. 4.8 Rate Time Distance Problems Objective: To solve word problems with uniform motion

  2. Formula to Know! Distance = Rate * Time Rate = Time = Strategies: Determine Given and Goal Draw a picture  Set up a chart

  3. How to set up Charts

  4. How to set up Charts Example 2: A helicopter leaves Central Airport and flies north at 180 mph. Twenty minutes later a plane leaves the airport and follows the helicopter at 330 mph. How long does it take the plane to overtake the helicopter. P. 168

  5. How to set up Charts Example 2: A helicopter leaves Central Airport and flies north at 180 mph. Twenty minutes later a plane leaves the airport and follows the helicopter at 330 mph. How long does it take the plane to overtake the helicopter. P. 168 Fill in chart with information you KNOW about the objects.(R and T)

  6. How to set up Charts Example 2: A helicopter leaves Central Airport and flies north at 180 mph. Twenty minutes later a plane leaves the airport and follows the helicopter at 330 mph. How long does it take the plane to overtake the helicopter. P. 168 Rate Time = Distance  (D)

  7. How to set up Charts Example 2: A helicopter leaves Central Airport and flies north at 180 mph. Twenty minutes later a plane leaves the airport and follows the helicopter at 330 mph. How long does it take the plane to overtake the helicopter. P. 168 Draw a picture to determine equation. What do you know from the picture about the distance the plane travels compared to the helicopter? Airport

  8. How to set up Charts Example 2: A helicopter leaves Central Airport and flies north at 180 mph. Twenty minutes later a plane leaves the airport and follows the helicopter at 330 mph. How long does it take the plane to overtake the helicopter. P. 168 Write the equation and solve. Airport

  9. Expectations for Today  Count off by 6’s.  Listen for your start station  Only 5 min at each station, be on task!  Everyone is writing and keeping their own notes. Set the problem up, can solve it later. You know how to solve equations.  Someone will be randomly picked to present the to the class. 

  10. Station One (1) Recall: Distance = Rate * Time Problem: Bicyclists Brent and Jane started at noon from points 60 km. apart and rode toward each other, meeting at 1:30 pm. Brent’s speed was 4 km/h greater than Jane’s speed. Find their speeds. GivenGoal: d: 60 km Brent’s speed: J + 4 t: 1 ½ hr Jane’s speed: J

  11. Station Two (2) Recall: Distance = Rate * Time Problem: At 7:00 am Joe starts jogging at 6 mph. At 7:10 am Ken starts off after him. How fast must Ken run in order to overtake him at 7:30am?? GivenGoal: Joe: 6 mph Time: ½ hour Ken: x mph Time: 1/3 hour Distance: Equal

  12. Station Three (3) Recall: Distance = Rate * Time Problem: A ski lift carried Maria up a slope at the rate of 6 km/h. Then she skied back down parallel to the lift at 34 km/h. The round trip took 30 min (which is .5 of an hour). How far did she ski and for how long? GivenGoal: Up the slope: 6 mph Ski Distance (down)? Down the slope: 34 mph How long did she ski? Distance: Equal

  13. Homework Written: p. 170 5 - 10

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