SOLUTION: 4 skilled workers can do a job in 5 days. 5 semi skilled worers can do The same job in 6 days.How long does it take 1 semi skilled and 2 ski Lled wlrkers to do the job working t

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: 4 skilled workers can do a job in 5 days. 5 semi skilled worers can do The same job in 6 days.How long does it take 1 semi skilled and 2 ski Lled wlrkers to do the job working t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 892875: 4 skilled workers can do a job in 5 days. 5 semi skilled worers can do
The same job in 6 days.How long does it take 1 semi skilled and 2 ski
Lled wlrkers to do the job working together?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let r = semi skilled worker rate for 1 worker
Let R = skilled worker rate for 1 worker

4R%2A5=1 and 5r%2A6=1

R=1%2F20 and r=1%2F30, you know the one-worker work rate as job per time in days.

The rate of a group of workers together is the combined rate by addition of all of the workers in the group.

Your question needs a time variable, d for days.
1 semi skilled plus 2 skilled workers;
highlight_green%28%28r%2B2R%29d=1%29
d=1%2F%28r%2B2R%29
d=1%2F%281%2F30%2B2%2F20%29%7D%7D%0D%0A%7B%7B%7Bd=1%2F%281%2F30%2B1%2F10%29
d=1%2F%281%2F30%2B3%2F30%29
d=1%2F%284%2F30%29=30%2F4
d=15%2F2
highlight%28d=7%261%2F2%29 days