SOLUTION: Working alone, Taylor can clean a building in 5.5 hours. Ed can clean the same building in 4 hours. Taylor and Ed are scheduled to clean the office building together. Taylor shows

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working alone, Taylor can clean a building in 5.5 hours. Ed can clean the same building in 4 hours. Taylor and Ed are scheduled to clean the office building together. Taylor shows       Log On


   

Question 816058: Working alone, Taylor can clean a building in 5.5 hours. Ed can clean the same building in 4 hours. Taylor and Ed are scheduled to clean the office building together. Taylor shows up 2.25 hours late. What is the total time it takes to clean the building if they are working together? (Please show the equation, all solving steps, and state your final answer with appropriate units. Thank You)
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
2.25/4=0.5625
Ed has worked 2.25 hours before Taylor gets there. Ed has done .5625 of the job already which leaves only 0.4375 of the job to do.
1-0.5625=0.4375
x/5.5+x/4=.4375
x = 1.01316
They work another 1.01316 hours to finish the job
2.25+1.01316=3.26316 hours to do the job
or
2.25/4+x/5.5+x/4=1
x = 1.01316