SOLUTION: Worker A and worker B, working together, can finish a job in 12 days. After 8 days worker A gets sick and worker B continues the job and finishes it in 20 days. How much does it fo
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: Worker A and worker B, working together, can finish a job in 12 days. After 8 days worker A gets sick and worker B continues the job and finishes it in 20 days. How much does it fo
Log On
Question 857477: Worker A and worker B, working together, can finish a job in 12 days. After 8 days worker A gets sick and worker B continues the job and finishes it in 20 days. How much does it for each worker to finish the job if they each worked alone?
Thank you! :) Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = A's rate of working in ( jobs ) / ( days )
Let = B's rate of working in ( jobs ) / ( days )
----------------
Add their individual rates of working to get
their rate working together
(1)
-------------------------
In days, the fraction of the job that A
gets done is
The fraction left to do is
-----------------------------------
B finishes the job in days
(2)
-------------------------
(1)
By substitution:
-----------------
(1)
(1)
(1)
and
-----------------
A can do the job in 18 days working alone
B can do the job in 36 days working alone
--------------------------------------
check:
(1)
(1)
(1)
(1)
and
Multiply both sides by
OK
