10 7 Solving Rational Equations in Word Problems

10. 7 Solving Rational Equations in Word Problems -Work Problems -D=RT Problems -Reciprocal Problems

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

Steps to Solve 1. Find the LCD 2. Multiply every term by the LCD/1 3. 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 1. Create a chart for d =rt 2. Solve for the variable that is the same for both parties 3. 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 Kylie Peyton r t

Reciprocal Problems • Reciprocal of a number x is 1/x • Additive inverse of a number x is -x

Reciprocal Problems The sum of half a number and its reciprocal is the same as 51 divided by the number. Find the number.

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