Distance and bearing of the end point of a two-stage journey from speeds, times and bearings

Distance and bearing of the end point of a two-stage journey from speeds, times and bearings

IB Year 6 | Grade 12
6 marks

A cyclist rides at a constant speed of \(18\text{ km h}^{-1}\). She leaves the point \(P\) and rides for \(40\) minutes on a bearing of \(125^\circ\) to the point \(Q\). She then rides for \(25\) minutes on a bearing of \(240^\circ\) to the point \(R\).

  1. Find the distance \(PR\).[3]
  2. Find the bearing of \(R\) from \(P\).[3]

Solution:

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Answer:(a) \(11.1\text{ km}\) (b) \(162.6^\circ\)

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