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Two planes P and Q depart from airports A and B respectively. A and B are 500km apart, B is east of A. Plane P departs A at 360 km/h on a bearing of 030°. Plane Q departs B at 240 km/h on a bearing of

Mathematics

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Problem Analysis:

  • Airport A and B are 500 km apart, with B due East of A.
  • Plane P starts from A, speed 360 km/h, bearing 030°.
  • Plane Q starts from B, speed 240 km/h, bearing 315°.
  • Both planes fly for 90 minutes.
  • We need to draw their positions on a scale and find the distance between them.

Common Calculations (for both parts):

1. Convert time to hours:

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