SOLUTION: A can do a piece of work in 16 days. After working on it for 4 days B joins who can complete work in 32 days. if A earns 1200 how much does B earn ?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A can do a piece of work in 16 days. After working on it for 4 days B joins who can complete work in 32 days. if A earns 1200 how much does B earn ?       Log On


   

Question 892082: A can do a piece of work in 16 days. After working on it for 4 days B joins who can complete work in 32 days. if A earns 1200 how much does B earn ?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
No clue how pay rate is related between A and B or to the work. Maybe just assumption of equal pay per time.

Are they paid at the same hourly rate?
WORK RATES:
A, 1%2F16
B, 1%2Fx
A&B, 1%2F16%2B1%2Fx

They complete 1 job in a combination of persons and days.
A for 4 days and then A&B for 32 days.
RT=J, for rate, time, job.
highlight_green%28%281%2F16%29%2A4%2B%281%2F16%2B1%2Fx%29%2A32=1%29

Solve this equation for x. The time for B to do the 1 job alone would be x days.
When you know x, you can find the work rate for B and the work rate of A and B combined.

THE ACTUAL QUESTION ASKED:
Your question was about pay rate and how much money B received. If both A and B get the same
daily rate of pay, then The pay rate for either of them is 1200%2F%284%2B32%29=highlight_green%2833%261%2F3%29 doller per day, based on the time and moneys
that A worked and received.

ANSWER:_____B worked for 32 days (while working together with A). B would earn highlight%28%2833%261%2F3%29%28dollars%2Fday%29%2A32%2A%28days%29%29
Apparently, solving for the time for B to do 1 job alone is not needed for finding how much he earns
in his 32 days of work.