5.6 Problem Solving with Rational Equations.notebook
May 08, 2015
5.6 Applications of Rational
Equations - Problem Solving
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5.6 Problem Solving with Rational Equations.notebook
May 08, 2015
Review:
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5.6 Problem Solving with Rational Equations.notebook
Outcome 5.13
Example 3
May 08, 2015
Solve problems by modeling a situation using rational equations.
There are three main types of problems involving rational equations:
1. Motion ­ distance & time
2. Rate of Work
3. Proportion 3
5.6 Problem Solving with Rational Equations.notebook
Outcome 5.11&5.13
Example 3
1. Motion Problems May 08, 2015
Example
Mario drove from Edmonton to Grande Prairie and back, a distance of about 360 km each way. Mario's average speed was 30 km/hr greater on his return trip than on his trip out. His total driving time was 10 hours. Determine Mario's average speed on each leg of his journey. çü
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5.6 Problem Solving with Rational Equations.notebook
Example
Example 3 1. Motion Problems Example 3
Jerome rows his boat 24 km downstream and back to where he began. When the average speed of the current is 2 km/hr, Jerome can complete the journey in 9 hours. What is Jerome's average rowing speed in still water?
May 08, 2015
Outcome 5.11&5.13
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5.6 Problem Solving with Rational Equations.notebook
May 08, 2015
Practice Example 3 1. Motion Problems
A boat travels at an average speed of 15 km'hr in still water. The boat travels 12 km downstream in the same time as it travels 8 km upstream. Determine the average speed of the current. Outcome 5.11&5.13
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5.6 Problem Solving with Rational Equations.notebook
Example 3 2. Rate of Work Problems Outcome 5.11&5.13
May 08, 2015
Example
Kyra mows a lawn in 40 minutes. When Mark and Kyra work together, they can mow the lawn in 24 minutes. How long would it take Mark to mow the lawn on his own?
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5.6 Problem Solving with Rational Equations.notebook
Example 3
Outcome 5.11&5.13
May 08, 2015
2. Rate of Work Problems ­ Try These
Practice Marissa can paint a garage door in 3 hours. When Marissa and Roger work together, they can paint the ç ü
same garage door in 1 hour. How long would it take Roger to paint the garage door on his own?
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5.6 Problem Solving with Rational Equations.notebook
Outcome 5.11&5.13
Example 3
3. Proportion
May 08, 2015
Example
Antifreeze is added to water to make a solution that is used in automobiles. How much antifreeze must be added to 12 L of water to make a solution that contains 40% antifreeze?
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5.6 Problem Solving with Rational Equations.notebook
Outcome 5.11&5.13
Example 3
Example 3
May 08, 2015
Review
2. Rate of Work Problems
It takes Brett 6 hours longer to clean the house than it e
takes Danielle. Working together, they can clean the house in 4 hours. How long would it take each person working alone to clean the house? Which equation would you use to solve this problem?
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