SOLUTION: A,B,and C undertook a construction project. A and B worked together the first 6 days and finished 1/3 of the project, then B and C worked together for 2 days on 1/4 of the remainin

Algebra.Com
Question 729747: A,B,and C undertook a construction project. A and B worked together the first 6 days and finished 1/3 of the project, then B and C worked together for 2 days on 1/4 of the remaining. And the rest of the project was completed by A,B, and C working together for 5 days. They were paid $1800 in total. If each were to be paid fairly, according to how much work he contributed, how much should B receive?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
A,B,and C undertook a construction project.
Let the completed project = 1800
then
A and B worked together the first 6 days and finished 1/3 of the project,
Their work is equal to 1/3 of 1800 or 600
Assuming they work at the same rate
A = 300
B = 300
:
then B and C worked together for 2 days on 1/4 of the remaining.
1/4 of the remaining (1200) = 300
B = 150
C = 150
:
And the rest of the project was completed by A,B, and C working together for 5 days.
The amt they did: 1800 - 600 - 300 = 900
A = 300
B = 300
C = 300
They were paid $1800 in total.
If each were to be paid fairly, according to how much work he contributed, how much should B receive?
B = 300 + 150 + 300 = $750 is B's share

RELATED QUESTIONS

If A and B work on a project, they need 8 1/9 days. A worked alone for 8 days then B... (answered by josgarithmetic,ikleyn)
three man worked together to complete a project. their manager concluded that the first... (answered by Boreal,josgarithmetic)
A project must be finished in 80 days. Contractor A costs $ 150 a day; Contractor B costs (answered by ewatrrr)
A alone can do a piece of work in 6 days and B alone can do it in 8 days.A and B... (answered by ewatrrr)
If Team A and Team B work together, they can finish a project in 6 days. Team A is twice... (answered by ikleyn)
There is a project. Company A needs 24 days to finish. Company B needs 30 days to finish. (answered by ikleyn,solver91311,ankor@dixie-net.com,MathTherapy)
When working together worker A and worker B take 8 hours to complete a project.Today they (answered by ankor@dixie-net.com)
Alan and Jim were asked by their boss to work on a project. Since Jim had to visit a... (answered by mukhopadhyay)
A and B can do a job in 12 days and B and C can do it in 16 days. A and B started... (answered by josgarithmetic)