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Solving Work Problems with Rational Equations: D=RT Explained

This guide covers solving rational equations in work problems, focusing on D=RT scenarios. It involves analyzing the contributions of workers A and B, calculating the time taken when they work together, and establishing relationships between different variables. We use the Least Common Denominator (LCD) to simplify calculations, multiply through the equation, and solve for the desired variable. Example problems illustrate this method, including scenarios like Gavin and Ashlynn sharing popcorn, and Kylie and Ella meeting at a concert. Homework assignments for practice are also included.

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Solving Work Problems with Rational Equations: D=RT Explained

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Presentation Transcript

  1. 10.7 Solving Rational Equations in Word Problems -Work Problems -D=RT Problems

  2. Work Problems • A is worker a • B is worker b • C is worker a and b working together

  3. Steps to Solve • Find the LCD • Multiply every term by the LCD/1 • Solve for the variable

  4. Example of Work Probelm • Gavin can eat a bag of popcorn in 2 minutes. Ashlynn can eat a bag of popcorn in 3 minutes. If Gavin and Ashlynn go to the movies together and share a bag of popcorn how long will it take them to finish?

  5. D=RT Steps • Create a chart for d =rt • Solve for the variable that is the same for both parties • Set the equations equal to each other

  6. Example of D=rt • Kylie and Ella are going to see Justin Bieber in concert. Kylie lives 1 mile away and Ella lives 5 miles away. What speed do they need to travel if they leave at the same time given that Kylie walks and Ella runs 10 mph faster then Kylie? (They want to meet at the concert at the same time)

  7. Homework • Page 458 (2-16 even, 21-24) all

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