Cycling and walking time model

Cycling and walking time model

Secondary 2
TGM Original Questions

A cyclist rides \(40\) km at \(x\) km/h before a breakdown, then walks \(8\) km at \((x-16)\) km/h. The whole trip takes \(4\) hours.

  1. Write the cycling time.
  2. Write the walking time.
  3. Form an equation and show that \(x^2-28x+160=0\).
  4. Solve and reject the invalid root.
  5. Find, in hours and minutes, the time for all \(48\) km if completed at the original cycling speed.

Solution:

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Answer:(a) \(\frac{40}{x}\) h; (b) \(\frac8{x-16}\) h; (d) \(x=20\) km/h; (e) \(2\) h \(24\) min.

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