Catch-Up Time and Speed Problem

Catch-Up Time and Speed Problem

Secondary 1

James and Alice were driving from town \(X\) to town \(Y\). James started his journey at \(1030\) and travelled at an constant speed of \(68\) km/h. Alice started her journey at \(1200\) and took her \(4\frac{2}{5}\) hours to catch up with James.

  1. Find Alice’s constant speed.
  2. Alice reached town \(Y\) \(2\) hours after catching up with James. When did James reach Town \(Y\)?

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Answer:(a) \(91\frac{2}{11}\text{ km/h}\) (b) Approximately \(19{:}05\)

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