Two Trains


This problem solving activity was originally posted on my blog in this form.

This problem will involve solving rational equations. It’s my attempt at making that classic “One train leaves Montreal traveling 80 km/h while another train…” problem a little more interesting.

Presented in 3 Acts.

Act I

Act II


Compare their answers. I’m not telling you what I get.


  • John was driving slower because he thought Darlene would drive farther to the meeting point. His plan is to drive 110 km/h all the way back, thinking that this would save him time overall. Would he have been better off driving 110 km/h the whole way?
  • What if Darlene left an hour later?




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