This document provides examples of solving rational equations and examples of word problems involving rates. The first example shows how to solve the rational equation (3-2)/(x-1) = (1)/(x+1). The second example asks what time Luigi and Monica will meet if they jog towards each other from 27 km apart at rates of 4 km/h and 5 km/h, respectively. The third example asks how fast Mark was travelling if he travelled 27 km and Tamara travelled 21 km in the same time, with Mark riding 2 km/h faster than Tamara.

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2. Solving Rational Equations
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3. 3 ­ 2
= 1
x­1 x+1
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4. 4

5. 7x 7
x­1 = 5 + x­1
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6. Example
Luigi and Monica live 27 km apart. At noon they begin to jog toward
each other from their respective homes. Luigi jogs at 4 km per hour and
Monica jogs at 5 km per hour. At what time will they meet?
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7. Example
Mark can ride his bicycle 2 km/h faster than Tamara.
They begin at the same spot and at the same time, travelling in
opposite directions. After travelling for the same length of time
they stop and realize that Mark has travelled 27 km and Tamara
has travelled 21 km. How fast was Mark travelling?
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