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MOTION PROBLEMS

Long Test 2 – Feb. 13 (Monday) -finding the restrictions/excluded values -solving rational equations - translating phrases - word problems. MOTION PROBLEMS. Thinking time. What is the average speed of a car which traveled 30km in 20 minutes? (kph)

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MOTION PROBLEMS

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  1. Long Test 2 – Feb. 13 (Monday)-finding the restrictions/excluded values-solving rational equations- translating phrases- word problems

  2. MOTION PROBLEMS

  3. Thinking time What is the average speed of a car which traveled 30km in 20 minutes? (kph) How far will a jogger reach in 2 hours if he jogs at an average pace of 20mph? How long will a 75 mile trip take at an average speed of 20 mph? http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  4. D R T Rate x Time = Distance Distance = Time Rate Distance = Rate Time

  5. Motion in Opposite Directions Two cars leave from the same place at the same time and travel in opposite directions. One car travels at 55 mph and the other at 75 mph. After how many hours will they be 520 miles apart? ------------------------------------520 miles-------------------------------

  6. Two cars leave from the same place at the same time and travel in opposite directions. One car travels at 55 mph and the other at 75 mph. After how many hours will they be 520 miles apart?

  7. 1) Two buses leave the same station at the same time and travel in opposite directions. After 8 hrs they are 360 km apart. The speed of the faster bus is 3 kph less than twice the speed of the slower bus. Find the rate of each bus.

  8. There are two trains. The Rabbit heads north on the expressway at 45kph. Exactly 12 min after, the Panther follows at a steady speed of 54kph. How long does it take the Panther to overtake the Rabbit? Motion in the same Direction 12 minutes after

  9. There are two trains. The Rabbit heads north on the expressway at 45kph. Exactly 12 min after, the Panther follows at a steady speed of 54kph. How long does it take the Panther to overtake the Rabbit? The Panther travels for 12 minutes less than (12 mins = 1/5 hr) the Rabbit because it travels 12 minutes later. When the Panther overtakes the Rabbit, the distances will be equal.

  10. 2) Mimi left home on her bicycle at an average rate of 6 kph. One hour later, her brother Mon set out to overtake her at an average rate of 8 kph. In how many hours will Mon overtake Mimi?

  11. While waiting for a train, Alvin takes a bus ride at 60 kph to a certain point and then walks back leisurely at 10 kph. The bus ride takes 15 minutes less than his walking. How far does he walk and for how long? Round-trip 15 minutes = ¼ hr

  12. While waiting for a train, Alvin takes a bus ride at 60 kph to a certain point and then walks back leisurely at 10 kph. The bus ride takes 15 minutes less than his walking. How far does he walk and for how long? In a round-trip, the 2 distances are equal.

  13. A pilot flew from one city to another city averaging 150 mph. Later, it flew back to the first city averaging 100 mph. The total flying time was 5 hours. How far apart are the cities? http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  14. NSM 2 Chap. 4 Ex. 16 (p. 135 ) The total time taken was 3 1 hours. 3 A motorist took 3 1/3 hour to drive 160 km. He drove part of the way at an average speed of 50kph and the rest of the way at 45kph. What is the distance traveled at 50kph? http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  15. NSM 2 Chap. 4 Ex. 17 (p. 136 ) Mr. Tan makes monthly visits to his parents in Malacca, a distance of 240 km from Singapore. He finds that if he increases the average speed by 10 kph, he could save a total of 20 minutes for the journey. Find the original speed of Mr. Tan. http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  16. PROBLEM 2 The Po family traveled 135 miles by train and the traveled 855 miles by plane. The speed of the plane was three times the speed of the train. If the total time of the trip was 6 hours, what was the speed of the train? http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  17. PROBLEM 3 Andrea can drive 100 miles to work in the same time that it takes her to drive 60 mph to a friends house. When driving to her friend’s house, Andrea drives 20 mph slower than when she drives to work. How fast does she drive going to work? http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  18. HOMEWORK Answer Exercise 4h NSM Book 2 Page 137 numbers 12, 13, 14, and 17 Show complete solutions (1 whole pad paper) http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  19. A man walked for some distance at 8 kph and for an equal distance at 5 kph. The total time he took was 3 ¼ hours. Find the total distance he walked. Total time was 3 ¼ or 13 hours. 4 http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  20. Solution He walked 10 km halfway, so the total distance he walked is 20 km.

  21. Total time was 7 ¾ or 31 hours. 4 13) A man cycled for some time at 16 kph and returned at 15 kph. The total time taken was 7 ¾ hours. Find the total distance he cycled. http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  22. Solution

  23. Distance traveled going to and going back are equal. A cyclist goes from one village to another at 28 kph. He returns at 24 kph. If the return journey takes two hours longer than the outward journey, what is the distance between the villages? http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  24. Solution Distance between the villages = 28(12) = 336 km

  25. Mr. Ong makes regular business trips to Kuala Lumpur, a distance of 420 km from Singapore. • On his way to KL he travels along the trunk road at an average speed of x kph. Write down an expression, in terms of x, for the time taken, in hours, to travel from Singapore to KL. http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  26. b) On his return journey to SG, he travels along the NS Highway and increases the average speed by 15 kph. Write down an expression, in terms of x, for the time taken, in hours, to travel from KL to SG. http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

  27. If the time difference between the two journeys is 40 minutes, form an equation in x and show that it reduces to x2 + 15x – 9450 = 0. • d) Solve the equation and find the time taken for the trip from SG to KL. http://webhome.broward.edu/~hsorkin/I-Math/Supp-4/Supp-4.PDF

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