SOLUTION: The​ O'Connors own a small janitorial service. John requires 1 and one half hours more time to clean the Moose club by himself than Chris does working by herself. If togeth

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The​ O'Connors own a small janitorial service. John requires 1 and one half hours more time to clean the Moose club by himself than Chris does working by herself. If togeth      Log On


   

Question 1129410: The​ O'Connors own a small janitorial service. John requires 1 and one half
hours more time to clean the Moose club by himself than Chris does working by herself. If together they can clean the club in 4 ​hours, find the time required by each to clean the club
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Chris, x
Joh, x+3/2

1%2F%28x%2B3%2F2%29%2B1%2Fx=1%2F4

4%2F%28x%2B3%2F2%29%2B4%2Fx=1

4x%2B4%28x%2B3%2F2%29=x%28x%2B3%2F2%29

4x%2B4x%2B6=x%5E2%2B3x%2F2

8x%2B6=x%5E2%2B3x%2F2

16x%2B12=2x%5E2%2B3x

2x%5E2-13x-12=0


x=%2813%2Bsqrt%28265%29%29%2F4

Christ alone, 7 hours 19 minutes
John alone, 8 hours 49 minutes
.