SOLUTION: a welder requires 25 hours to do a job. after the welder and an apprentice work on a job for 10 hours the wilder quits, the apprentice finishes the job in 17 hours. How long would

Algebra ->  Rational-functions -> SOLUTION: a welder requires 25 hours to do a job. after the welder and an apprentice work on a job for 10 hours the wilder quits, the apprentice finishes the job in 17 hours. How long would       Log On


   

Question 583032: a welder requires 25 hours to do a job. after the welder and an apprentice work on a job for 10 hours the wilder quits, the apprentice finishes the job in 17 hours. How long would it take the apprentice, working alone, to do the job
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a welder requires 25 hours to do a job.
after the welder and an apprentice work on a job for 10 hours the wilder quits, the apprentice finishes the job in 17 hours.
How long would it take the apprentice, working alone, to do the job
:
Let a = time required by the apprentice to do the job
Let the completed job = 1
:
From the information given, we see the apprentice worked a total of 27 hrs
:
10%2F25 + 27%2Fa = 1
multiply by 25a, results
10a + 25(27) = 25a
10a + 675 = 25a
675 = 25a - 10a
675 = 15a
a = 675%2F15
a = 45 hrs, the apprentice working alone