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Solving a System of Equations with Two Unknowns
Distance = Rate x Time Problems
Mixture Problems
Blinders
Solving a System of Equations with Three Unknowns
  BLINDERS
This next type of problem usually appears in a communication book under the topic of blinders. There are a number of versions of it. Here is one version.

Two cyclists 10 miles apart are pedaling towards each other at a constant rate of 5 miles per hour.

There is a bee on one of the handlebars that continuously flies back and forth from the handlebars of one bicycle to the handlebars of the other bicycle at a rate of 20 miles per hour until the cyclists pass each other. At that moment when the cyclists pass each other, how far did the bee fly?
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