SOLUTION: Jonathan can complete a project in 15 days and Stephanie can do the same project in 45 days. Jonathan worked on the project alone for 3 days before Stephanie joined him. How many d

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jonathan can complete a project in 15 days and Stephanie can do the same project in 45 days. Jonathan worked on the project alone for 3 days before Stephanie joined him. How many d      Log On


   



Question 821197: Jonathan can complete a project in 15 days and Stephanie can do the same project in 45 days. Jonathan worked on the project alone for 3 days before Stephanie joined him. How many days did Stephanie work on the project until it was done? PLEASE ANSWER ASAP
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
in three days Jon completed 3/15=1/5 of the job.
3/15+x/15+x/45=1
3x/45+x/45=12/15
4x/45=4/5
x/9=1
x=9 they worked 9 days together
check
3/15+9/15+9/45=1
3/15+9/15+3/15=1
15/15=1
ok