SOLUTION: 4 skilled workers can do a job in 5 days, 5 semi-skilled workers can do the same job in 6 days. How long does it take 1 semi-skilled and 2 skilled workers to do the job working tog

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 4 skilled workers can do a job in 5 days, 5 semi-skilled workers can do the same job in 6 days. How long does it take 1 semi-skilled and 2 skilled workers to do the job working tog      Log On


   

Question 1110376: 4 skilled workers can do a job in 5 days, 5 semi-skilled workers can do the same job in 6 days. How long does it take 1 semi-skilled and 2 skilled workers to do the job working together?

I think you do 5/4 and 5/6, and then you add 5/6+5/6+5/4. I'm not sure though.
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
4 skilled workers rate, 4R%2A5=1, R=1%2F20----rate for 1 skilled worker

5 semi-skilled workers, 5r%2A6=1, r=1%2F30----rate for 1 semi-skilled worker

How long for 1 semi-skilled and 2 skilled workers working together?
Their collective work rate is 2%281%2F20%29%2B1%281%2F30%29
1%2F10%2B1%2F30

3%2F30%2B1%2F30

4%2F30

2%2F15----------JOBS per DAYS

In DAYS per 1 JOB, this is 15%2F2=highlight%287%261%2F2%29 days.