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

2019
Views:

117

Pages:

1
Author:

basteishx23y

NAME ___________ DATE ___________ 11-7 Practice Worksheet Applications of Rational Equations Solve each problem. It takes Angus three days to cultivate the garden. It takes Helga four days to do the same job. How long does it take them to do the job if they work together? Angus | 1/3 | x | x/3 Helga | 1/4 | x | x/4 (x/3 + x/4 = 1)12 4x + 3x = 12 7x = 12 x = 12/7 = 1 5/7 days A tank can be filled by a hose in 15 hours. It can be emptied by a drainpipe in 25 hours. If the drainpipe is open while the tank is being filled, how long does it take to fill the tank? Fill | 1/15 | x | x/15 Empty | 1/25 | x | x/25 (x/15 - x/25 = 1)75 5x - 3x = 75 2x = 75 x = 37 1/2 hours Carlos can run to Ingrid's house in 30 minutes. Ingrid can run to Carlos' house in 40 minutes. If they start from their houses at the same time, in how many minutes will they meet? Carlos | 1/30 | x | x/30 Ingrid | 1/40 | x | x/40 (x/30 + x/40 = 1)120 4x + 3x = 120 7x = 120 x = 17 1/7 hours The denominator of a fraction is one less than three times the numerator. If 12 is added to both numerator and denominator, the resulting fraction has a value of 3/4. Find the original fraction. Original | x / (3x - 1) New | (x + 12) / (3x - 1 + 12) (x + 12) / (3x + 11) = 3/4 4(x + 12) = 3(3x + 11) 4x + 48 = 9x + 33 15 = 5x 3 = x 3 / (3(3) - 1) = 3/8