SOLUTION: 24 boys bikeill complete a piece of work in 18 days,2days after they started the work,8 more boys joined with them.in how many days all of them together finished work?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 24 boys bikeill complete a piece of work in 18 days,2days after they started the work,8 more boys joined with them.in how many days all of them together finished work?      Log On


   

Question 979754: 24 boys bikeill complete a piece of work in 18 days,2days after they started the work,8 more boys joined with them.in how many days all of them together finished work?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
"bikeill"?

r, the rate of work for 1 boy.

2 days with 24 boys working;
t days with 24+8 boys working

Basic uniform rates relationship, n%2Ar%2Ax=j for n quantity of workers, r rate, x time, and j amount of work or job.

24r%2A2%2B%2824%2B8%29r%2At=1 for the described days of "actual" work being done.

The first sentence describes the way boys work for this job and these boys.
24r%2A18=1, which means the rate term of amount of work would be ONE PIECE OF WORK.

You have this system of equations in the two unknown variables, r and t:
highlight%28system%2824r%2A18=1%2C24r%2A2%2B32r%2At=1%29%29.
Solve the system, with main goal to find the value of t.