University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2019
Views:

481

Pages:

2
Author:

cravelingstnw

Algebra II/Trig. Rational Equations Word Problems Kes Name Date: Period: Directions: Set up a chart, write a rational equation and solve, 1. Olivia can wash and wax the car in 3 hours. George takes 4 hours. If they work together, how long will it take them? Olivia Work Rate Time Work Done T_{3} H_{3} George 74 78012 x = 17 11shours ( matrix x + x/4 = 1 )^ 12 4x + 3x = 12 2. Mary can paint the kitchen in 3 hours. Paul can paint it in 2 hours. Working together, how long will it take them to paint the kitchen? Mary Faul x/3 + k/2 = 1 )6 2x + 3x = 6 Work Rate Time Work X X 5x = 6 x = 1 ^ (1/5) Dane Thoor 12mm. 3. The demolition company wants to build a brick wall to hide a specific area. One bricklayer can build this wall in 5 days. Another bricklayer can do the job in 4 days. The company decides to hire them both to work together. How long will it take the 2 bricklayers to finish the wall? Work Rate Time Work Done X X Bricklayer 1 Bricklayer 2 x/5 + x/4 = 1 ) 4x + 1x = 20 9x = ∞ x = 2 * d/4 ( 2 2/4 * ln(ys) 4. A swimming pool can be filled by 1 pipe in 10 hrs. The drain pipe can empty the pool in 15 hrs. If both pipes are open, how long will it take to fill the pool? Fill Pipe Drain Pipe Work-Rate TimeWork Done (x/10 - x/15 + 1) * 30 3x - 2x = 30 x < 50 Bohours Algebra II/Trig Rational Equations Word Problems Name: Date: Period: State the work rate. 1. Beatrice can wallpaper the room in 8 hours. 2. Mary can edit a book in 10 months. 3. Sandy can tune a car in 30 minutes. 4. A drain pipe can empty a firil tank in 3 hours. Directions: Set up a chart, write a rational equation and solve. 5. Using a ride on lawn mower. Abby can mow the lawn in 2 hours. Her sister Carla takes 3 hours using an older mower. How long will it take them if they work together? Work Rate Time Work Done Abby Carla U_{2} 70 x*H_{2} 43 x/x + x/3 = 1 x12x = 6 5026 x = 1 1/5 1 1/5 h0..3 6. Phil can paint the garage in 12 hours and Rick can do it in 10 hours. They work together for 3 hours. How long will it take Rick 10 finish the job alone? Work Rate Time Work Done Rick sqrt(12) 3 x + 5 3 / 12 13/10 1/4 + (x + 3)/12 = 1 ) 20 5 + 2(x + 3) = 70 S + 2x + 6 > 20 2825 x = 42 Phil 4½ hous 7. Bill usually takes 50 minutes to groom the horses. After working for 10 minutes, he was joined by Ann and they finished the grocusing in 15-minutes. How long would it have taken Ann working alone? Work Rate Time Work Dont Bil h 25 25/50 Ann 1/17 + 15/7 = 1 )2x 6 M 130.