10.7 Solving Rational Equations in Word Problems

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10.7 Solving Rational Equations in Word Problems

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Presentation transcript:

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

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

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

Example of Work Problem Nolan can eat a bag of popcorn in 2 minutes. Madison can eat a bag of popcorn in 3 minutes. If Nolan and Madison go to the movies together and share a bag of popcorn how long will it take them to finish? Nolan (worker A) = 2 minutes Madison (worker B)= 3 minutes Together (C) = x minutes

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

Example of D=rt Kylie and Peyton are going to do a flash mob. Kylie lives 1 mile away and Peyton lives 5 miles away. What speed do they need to travel if they leave at the same time given that Kylie walks and Peyton runs 10 mph faster then Kylie? (They want to meet at the flash mob at the same time) D r t Kylie Peyton

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