Two journeys

Two journeys

Secondary 2
5 marks
TGM Original Questions

Car A and Car B leave towns 210 km apart at the same time and travel towards each other at constant speeds. They meet after 1.5 hours. Car B is 20 km/h slower than Car A. Let their speeds be \(x\) and \(y\) km/h, respectively.

  1. Form two simultaneous equations.[2]
  2. Find \(x\) and \(y\).[2]
  3. Find, to the nearest minute, the time Car A takes to complete the entire 210 km journey.[1]

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Answer:(a) \(x+y=140,x-y=20\); (b) \(x=80,y=60\); (c) \(158\) min.

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