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Types of Problems

Types of Problems. Unchanged Distance with Varying Speed/Time Problems Involving One Moving Object Two objects moving in opposite or same direction. Closing The Gap. A motorist travelled from Town P to Town Q.

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Types of Problems

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  1. Types of Problems Unchanged Distance with Varying Speed/Time Problems Involving One Moving Object Two objects moving in opposite or same direction. Closing The Gap

  2. A motorist travelled from Town P to Town Q. After travelling of the journey at an average speed of 45 km/h, he continued to travel another 240 km to reach Town Q. Unchanged Distance with Varying Speed/Time a) Find the distance between the two towns. 360 km

  3. Unchanged Distance with Varying Speed/Time A motorist travelled from Town P to Town Q. After travelling 1/3 of the journey at an average speed of 45 km/h, he continued to travel another 240 km to reach Town Q. a) Find the distance between the two towns. of the journey = 240 km Distance between Town P and Q = x 3 = 360 km The distance between the two towns is 360 km.

  4. A motorist travelled from Town P to Town Q. After travelling of the journey at an average speed of 45 km/h, he continued to travel another 240 km to reach Town Q. b) If his average speed for the whole journey was 54 km/h, find his average speed for the last of the journey. Unchanged Distance with Varying Speed/Time a) Find the distance between the two towns. 360 km 60 km/h

  5. Total Distance 360 = 6 h = h Total Time = 54 Average Speed 120 Time taken for of the journey = 6 − 2 = 4h = h 45 Time taken for first of the journey 1 3 Average speed for the last of the journey = (240  4 ) km/h = 60 km/h His average speed for the last of the journey was 60 km/h. = 2 h 2 2 3 3 Unchanged Distance with Varying Speed/Time

  6. Two objects moving in opposite or same direction. Two towns A and B are 20 km apart. At 12 noon, Peter left Town A and cycled towards Town B at 15 km/h. At the same time, Henry left Town B and cycled towards Town A at 12 km/h along the same road. (a) Find the distance between Peter and Henry at 12.40 p.m. 2 km

  7. Peter, 15 km/h Henry, 12 km/h A B Two objects moving in opposite or same direction. Distance Peter travelled = (2/3 x 15)km = 10 km Distance Henry travelled = (2/3 x 12) km = 8 km Distance between Peter and Henry = (20 – 10 – 8) km = 2 km

  8. Two objects moving in opposite or same direction. Two towns A and B are 20 km apart. At 12 noon, Peter left Town A and cycled towards Town B at 15 km/h. At the same time, Henry left Town B and cycled towards Town A at 12 km/h along the same road. (a) Find the distance between Peter and Henry at 12.40 p.m. 2 km (b) Find the distance between them at 1 p.m. 7 km

  9. Two objects moving in opposite or same direction. Peter, 15 km A B Henry, 12 km Distance Peter travelled = 15 km Distance Henry travelled = 12 km Distance between Peter and Henry = (15 +12 – 20) km = 7 km

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